What are the solutions to the equation? x² + 6x = 40

Solution:

Given x² + 6x = 40

Bring the constant to the left side of the equation

x² + 6x - 40 = 0

Let us solve this quadratic equation by splitting the middle terms.

x² + 10x - 4x - 40 = 0

x(x + 10) - 4(x + 10) = 0

(x + 10)(x - 4) = 0

x = -10, 4

Therefore, the solutions are -10, 4

What are the solutions to the equation? x² + 6x = 40

Summary:

The solutions to the equation x² + 6x = 40 are -10, 4.