Tool/solver to resolve one or more equations. An equation is a mathematical expression presented as equality between two elements with unknown variables.

Equation Solver - dCode

Tag(s) : Symbolic Computation

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⮞ Go to: Differential Equation Solver

⮞ Go to: Boolean Expressions Calculator

dCode calculator can **solve equations** (but also inequations or other mathematical calculations) and find unknown variables. **The equations** must contain a comparison character such as `equal`, ie. `=` (or `<` or `>`).

__Example:__ $ 2x=1 $ returns for solution $ x = 1/2 $

dCode returns exact solutions (integers, fraction, etc.) by default (for linear and nonlinear **equation** systems), if **the equation** contains comma numbers then dCode will return a solution with decimal numbers.

__Example:__ $ 2x = 1.0 $ returns for solution $ x = 0.5 $

To solve a cryptarithm (replacing letters with multiple values between 0 and 9), use the dCode cryptarithm solver.

**Equations** can be combined with the `and` (logical conjunction) operator: `&&` or `⋀` or with a line return between each **equation**.

__Example:__ **The equation system** of first and second degree `2x^2+1 = 3 && 3x-1 = 2` gives `x=1`

To **solve an equation system**, **equations** have to be separated with `&&` or `⋀`. Variables have to be listed and separated in the variables input box.

Use the dedicated tool to check an equality or else, enter **the equation** and click on solve, the solver will answer `true` if the equality is checked whatever the variable (there are an infinite number of possible solutions for the variable).

__Example:__ `2n+18n+4=2(n+9n+2)` is `TRUE` for any value of `n`

The solver will return `false` if equality is not possible (if there is no solution for the variable)

__Example:__ `5(x-7)=3(x+2)+2x` is `FALSE` for any value of `x`

Add an additional line which will act as an complementary **equation**.

__Example:__ $ x^2-2 = 0 \ \&\& \ x > 0 $ if **the equation** is valid only on $ x > 0 $ strictly positive numbers.

The calculation steps of the solver are not shown because they do not correspond to the steps a human would make. The operations performed by the solver are binary calculations bit by bit very different from those of a resolution by hand from a mathematician.

dCode retains ownership of the online "Equation Solver" source code. Except explicit open source licence (indicated CC / Creative Commons / free), the "Equation Solver" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or the "Equation Solver" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, copy-paste, or API access for "Equation Solver" are not public, same for offline use on PC, tablet, iPhone or Android ! Remainder : dCode is free to use.

Please, check our dCode Discord community for help requests!

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- Equation Solver Calculator
- Solve a Differential Equation
- Solve a Boolean Equation
- How to solve an equation?
- How to solve multiple equations?
- How to solve multiple equations with multiple variables?
- How to check an equality?
- How to add an interval or a domain of resolution?
- How to solve an equation step by step?

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Source : https://www.dcode.fr/equation-solver

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