(x-9)(x+8)=-72

Solution for (x-9)(x+8)=-72 equation:

Simplifying
(x + -9)(x + 8) = -72

Reorder the terms:
(-9 + x)(x + 8) = -72

Reorder the terms:
(-9 + x)(8 + x) = -72

Multiply (-9 + x) * (8 + x)
(-9(8 + x) + x(8 + x)) = -72
((8 * -9 + x * -9) + x(8 + x)) = -72
((-72 + -9x) + x(8 + x)) = -72
(-72 + -9x + (8 * x + x * x)) = -72
(-72 + -9x + (8x + x2)) = -72

Combine like terms: -9x + 8x = -1x
(-72 + -1x + x2) = -72

Add '72' to each side of the equation.
-72 + -1x + 72 + x2 = -72 + 72

Reorder the terms:
-72 + 72 + -1x + x2 = -72 + 72

Combine like terms: -72 + 72 = 0
0 + -1x + x2 = -72 + 72
-1x + x2 = -72 + 72

Combine like terms: -72 + 72 = 0
-1x + x2 = 0

Solving
-1x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}