Solve for x.

(x+8) ^2=x^2+4x+16

(x+8) ^ 2 = x^2 + 4x + 16 Simplify both sides of the equation. x^2 + 16x + 64 = x^2 + 4x + 16 Subtract x^2 from both sides. x^2 + 16x + 64 - x^2 = x^2 + 4x + 16 - x^2 16x + 64 = 4x + 16 Subtract 4x from both sides. 16x + 64 - 4x = 4x + 16 - 4x 12x + 64 = 16 Subtract 64 from both sides. 12x + 64 - 64 = 16-64 12x = - 48 Divide both sides by 12. 12x / 12 = - 48 / 12 x = - 4 Answer: x = - 4

Expanding the left side:-

x^2 + 16x + 64 = x^2 + 4x + 16

x^2 - x^2 + 16x - 4x + 64 - 16 = 0

12x + 48 = 0

12 x = - 48

x = - 4