**Equation Calculator** is a free online tool that can solve a given equation for a given variable. **Protonstalk Equation Calculator** is one such handy and helpful tool to compute equations faster and easier.

## About Equation Calculator

### Inputs

Following are the inputs of the calculator.

- Equation
- Variable for which equation is to be solved

### Steps to use

**Step 1:** Enter the equation and the variable you want to solve the equation for in the respective text field.**Step 2: **Click on the “**calculate”** button to compute the value.**Step 3: **The required answer with a graph will be displayed in a new window.

### Output

Following are the outputs of the calculator

- Input interpretation
- Results
- Root Plot i.e a graph of the equation showing the roots as intersecting points on x-axis

## Equations

An **equation** is a statement that states the equality of two expressions that are connected by the equals sign “=”. Simply, an equation is written as two operands connected by an operator (“=”). Solving any equation involves determining which values of the variables make the equality true.

## Types of Equations

There are a lot of types of equations, some of them are

- Linear Equation
- Quadratic Equation
- Cubic equations
- Polynomial Equation
- Functional Equation
- Parametric Equation

## Example

Question: Solve x^{2} +4x – 5 = 0

Solution: Given equation, x^{2} +4x – 5 = 0

Splitting the x term so that we can factorise it.

x^{2} + 5x – x – 5 = 0

Factorising the equation

x(x + 5) – 1(x+5) = 0

Now we know that either x-1 should be 0 or x+5 should be

(x-1)(x+5) =0

So, x -1 = 0 or x + 5 = 0

=> x = 1 or x = -5

So the solution is x = 1 or -5

**More Mathematical Calculators**