w^2-9w-72=-72

Solution for w^2-9w-72=-72 equation:

Simplifying
w2 + -9w + -72 = -72

Reorder the terms:
-72 + -9w + w2 = -72

Add '72' to each side of the equation.
-72 + -9w + 72 + w2 = -72 + 72

Reorder the terms:
-72 + 72 + -9w + w2 = -72 + 72

Combine like terms: -72 + 72 = 0
0 + -9w + w2 = -72 + 72
-9w + w2 = -72 + 72

Combine like terms: -72 + 72 = 0
-9w + w2 = 0

Solving
-9w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-9 + w) = 0

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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(-9 + w)' equal to zero and attempt to solve:

Simplifying
-9 + w = 0

Solving
-9 + w = 0

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

Add '9' to each side of the equation.
-9 + 9 + w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + w = 0 + 9
w = 0 + 9

Combine like terms: 0 + 9 = 9
w = 9

Simplifying
w = 9
Solution
w = {0, 9}