108=2x^2-15x

Solution for 108=2x^2-15x equation:

Simplifying
108 = 2x2 + -15x

Reorder the terms:
108 = -15x + 2x2

Solving
108 = -15x + 2x2

Solving for variable 'x'.

Reorder the terms:
108 + 15x + -2x2 = -15x + 15x + 2x2 + -2x2

Combine like terms: -15x + 15x = 0
108 + 15x + -2x2 = 0 + 2x2 + -2x2
108 + 15x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
108 + 15x + -2x2 = 0

Factor a trinomial.
(12 + -1x)(9 + 2x) = 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 '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {12, -4.5}