What are the Solutions of the Equation 4x² + 3x = 24 – x?

We will be simplifying the equation to solve it.

Answer: The solutions of the equation 4x² + 3x = 24 – x are -3, and 2.

Let's solve this step by step to find the zeros of 4x² + 3x = 24 – x.

Explanation:

Given that, 4x² + 3x = 24 – x.

Simplify the equation first,

⇒ 4x² + 4x - 24 = 0

Divide by 4 on both sides,

⇒x² + x - 6 = 0

We have to find the roots of the equation.

Let, f(x) = x² + x - 6 

= x² + 3x - 2x - 6 

= x² - 2x + 3x - 6

= x(x - 2) + 3(x - 2)

= (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.

Thus, the solutions of the equation 4x² + 3x = 24 – x are -3, 2.