(x+72)(x-8)=0

Solution for (x+72)(x-8)=0 equation:

Simplifying
(x + 72)(x + -8) = 0

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

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

Multiply (72 + x) * (-8 + x)
(72(-8 + x) + x(-8 + x)) = 0
((-8 * 72 + x * 72) + x(-8 + x)) = 0
((-576 + 72x) + x(-8 + x)) = 0
(-576 + 72x + (-8 * x + x * x)) = 0
(-576 + 72x + (-8x + x2)) = 0

Combine like terms: 72x + -8x = 64x
(-576 + 64x + x2) = 0

Solving
-576 + 64x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-72 + -1x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve:

Simplifying
-72 + -1x = 0

Solving
-72 + -1x = 0

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

Add '72' to each side of the equation.
-72 + 72 + -1x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1x = 0 + 72
-1x = 0 + 72

Combine like terms: 0 + 72 = 72
-1x = 72

Divide each side by '-1'.
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-72, 8}