120=x(x+2)

Solution for 120=x(x+2) equation:

Simplifying
120 = x(x + 2)

Reorder the terms:
120 = x(2 + x)
120 = (2 * x + x * x)
120 = (2x + x2)

Solving
120 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
120 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
120 + -2x + -1x2 = 0 + x2 + -1x2
120 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
120 + -2x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(12 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

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

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

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Solution
x = {10, -12}