264=10x+x^2

Solution for 264=10x+x^2 equation:

Simplifying
264 = 10x + x2

Solving
264 = 10x + x2

Solving for variable 'x'.

Reorder the terms:
264 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
264 + -10x + -1x2 = 0 + x2 + -1x2
264 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
264 + -10x + -1x2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 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 + x = 0 + -22

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

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

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