x(x-18)=-72

Solution for x(x-18)=-72 equation:

Simplifying
x(x + -18) = -72

Reorder the terms:
x(-18 + x) = -72
(-18 * x + x * x) = -72
(-18x + x2) = -72

Solving
-18x + x2 = -72

Solving for variable 'x'.

Reorder the terms:
72 + -18x + x2 = -72 + 72

Combine like terms: -72 + 72 = 0
72 + -18x + x2 = 0

Factor a trinomial.
(6 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {6, 12}