What are the solutions to x² + 8x + 7 = 0?

Solution:

Given quadratic equation is x² + 8x + 7 = 0

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

⇒ x² + x + 7x + 7 = 0

⇒ x(x + 1) + 7(x + 1) = 0

⇒ (x + 1)(x + 7) = 0

⇒(x + 1)= 0 or (x + 7) = 0

⇒ x = -1, -7

Solution is x = -1, -7

What are the solutions to x² + 8x + 7 = 0?

Summary:

The solutions to x² + 8x + 7 = 0 are -1, -7.