0=-2x^2+120x-1512

Solution for 0=-2x^2+120x-1512 equation:

Simplifying
0 = -2x2 + 120x + -1512

Reorder the terms:
0 = -1512 + 120x + -2x2

Solving
0 = -1512 + 120x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 1512 = 1512
1512 + -120x + 2x2 = -1512 + 120x + -2x2 + 1512 + -120x + 2x2

Reorder the terms:
1512 + -120x + 2x2 = -1512 + 1512 + 120x + -120x + -2x2 + 2x2

Combine like terms: -1512 + 1512 = 0
1512 + -120x + 2x2 = 0 + 120x + -120x + -2x2 + 2x2
1512 + -120x + 2x2 = 120x + -120x + -2x2 + 2x2

Combine like terms: 120x + -120x = 0
1512 + -120x + 2x2 = 0 + -2x2 + 2x2
1512 + -120x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1512 + -120x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(756 + -60x + x2) = 0

Factor a trinomial.
2((18 + -1x)(42 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {18, 42}