2x^2-68x-10080=0

Solution for 2x^2-68x-10080=0 equation:

Simplifying
2x2 + -68x + -10080 = 0

Reorder the terms:
-10080 + -68x + 2x2 = 0

Solving
-10080 + -68x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5040 + -34x + x2) = 0

Factor a trinomial.
2((-56 + -1x)(90 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-56 + -1x)' equal to zero and attempt to solve:

Simplifying
-56 + -1x = 0

Solving
-56 + -1x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -1x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -1x = 0 + 56
-1x = 0 + 56

Combine like terms: 0 + 56 = 56
-1x = 56

Divide each side by '-1'.
x = -56

Simplifying
x = -56
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {-56, 90}