2x^2-122x-19152=0

Solution for 2x^2-122x-19152=0 equation:

Simplifying
2x2 + -122x + -19152 = 0

Reorder the terms:
-19152 + -122x + 2x2 = 0

Solving
-19152 + -122x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9576 + -61x + x2) = 0

Factor a trinomial.
2((-72 + -1x)(133 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve:

Simplifying
-72 + -1x = 0

Solving
-72 + -1x = 0

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

Add '72' to each side of the equation.
-72 + 72 + -1x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1x = 0 + 72
-1x = 0 + 72

Combine like terms: 0 + 72 = 72
-1x = 72

Divide each side by '-1'.
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(133 + -1x)' equal to zero and attempt to solve:

Simplifying
133 + -1x = 0

Solving
133 + -1x = 0

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

Add '-133' to each side of the equation.
133 + -133 + -1x = 0 + -133

Combine like terms: 133 + -133 = 0
0 + -1x = 0 + -133
-1x = 0 + -133

Combine like terms: 0 + -133 = -133
-1x = -133

Divide each side by '-1'.
x = 133

Simplifying
x = 133
Solution
x = {-72, 133}