(x+10)(x)=264

Solution for (x+10)(x)=264 equation:

Simplifying
(x + 10)(x) = 264

Reorder the terms:
(10 + x)(x) = 264

Reorder the terms for easier multiplication:
x(10 + x) = 264
(10 * x + x * x) = 264
(10x + x2) = 264

Solving
10x + x2 = 264

Solving for variable 'x'.

Reorder the terms:
-264 + 10x + x2 = 264 + -264

Combine like terms: 264 + -264 = 0
-264 + 10x + x2 = 0

Factor a trinomial.
(-22 + -1x)(12 + -1x) = 0

Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22
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 = {-22, 12}