108=x*(x+3)

Solution for 108=x*(x+3) equation:

Simplifying
108 = x(x + 3)

Reorder the terms:
108 = x(3 + x)
108 = (3 * x + x * x)
108 = (3x + x2)

Solving
108 = 3x + x2

Solving for variable 'x'.

Reorder the terms:
108 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
108 + -3x + -1x2 = 0 + x2 + -1x2
108 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
108 + -3x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(12 + x) = 0

Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
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 = {9, -12}