# What are the Solutions to the Equation 0 = x^{2} – x – 6?

We will be simplifying the equation by finding the roots.

## Answer: The Solutions of the Equation 0 = x^{2} – x – 6 are -2, 3.

Let's solve this step by step to find the zeros of 0 = x^{2} – x – 6.

**Explanation:**

Given that, 0 = x^{2} – x – 6.

Simplify the equation first

⇒x^{2} - x - 6 = 0

We have to find the roots of the equation.

f(x) = x^{2} - x - 6

= x^{2} - 3x + 2x - 6

= x(x - 3) + 2(x - 3)

= (x + 2)(x - 3)

(x - 3) = 0 and (x + 2) = 0

x = 3 and x^{ }= -2

You can verify your answer using Cuemath's Roots Calculator.