5(x+8)(x-8)=0

Solution for 5(x+8)(x-8)=0 equation:

Simplifying
5(x + 8)(x + -8) = 0

Reorder the terms:
5(8 + x)(x + -8) = 0

Reorder the terms:
5(8 + x)(-8 + x) = 0

Multiply (8 + x) * (-8 + x)
5(8(-8 + x) + x(-8 + x)) = 0
5((-8 * 8 + x * 8) + x(-8 + x)) = 0
5((-64 + 8x) + x(-8 + x)) = 0
5(-64 + 8x + (-8 * x + x * x)) = 0
5(-64 + 8x + (-8x + x2)) = 0

Combine like terms: 8x + -8x = 0
5(-64 + 0 + x2) = 0
5(-64 + x2) = 0
(-64 * 5 + x2 * 5) = 0
(-320 + 5x2) = 0

Solving
-320 + 5x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '320' to each side of the equation.
-320 + 320 + 5x2 = 0 + 320

Combine like terms: -320 + 320 = 0
0 + 5x2 = 0 + 320
5x2 = 0 + 320

Combine like terms: 0 + 320 = 320
5x2 = 320

Divide each side by '5'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}