2x^2-126x-9720=0

Solution for 2x^2-126x-9720=0 equation:

Simplifying
2x2 + -126x + -9720 = 0

Reorder the terms:
-9720 + -126x + 2x2 = 0

Solving
-9720 + -126x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4860 + -63x + x2) = 0

Factor a trinomial.
2((-45 + -1x)(108 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve:

Simplifying
-45 + -1x = 0

Solving
-45 + -1x = 0

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

Add '45' to each side of the equation.
-45 + 45 + -1x = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -1x = 0 + 45
-1x = 0 + 45

Combine like terms: 0 + 45 = 45
-1x = 45

Divide each side by '-1'.
x = -45

Simplifying
x = -45
Subproblem 2
Set the factor '(108 + -1x)' equal to zero and attempt to solve:

Simplifying
108 + -1x = 0

Solving
108 + -1x = 0

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

Add '-108' to each side of the equation.
108 + -108 + -1x = 0 + -108

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

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

Divide each side by '-1'.
x = 108

Simplifying
x = 108
Solution
x = {-45, 108}