2x^2+28x-11152=0

Solution for 2x^2+28x-11152=0 equation:

Simplifying
2x2 + 28x + -11152 = 0

Reorder the terms:
-11152 + 28x + 2x2 = 0

Solving
-11152 + 28x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5576 + 14x + x2) = 0

Factor a trinomial.
2((-82 + -1x)(68 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-82 + -1x)' equal to zero and attempt to solve:

Simplifying
-82 + -1x = 0

Solving
-82 + -1x = 0

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

Add '82' to each side of the equation.
-82 + 82 + -1x = 0 + 82

Combine like terms: -82 + 82 = 0
0 + -1x = 0 + 82
-1x = 0 + 82

Combine like terms: 0 + 82 = 82
-1x = 82

Divide each side by '-1'.
x = -82

Simplifying
x = -82
Subproblem 2
Set the factor '(68 + -1x)' equal to zero and attempt to solve:

Simplifying
68 + -1x = 0

Solving
68 + -1x = 0

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

Add '-68' to each side of the equation.
68 + -68 + -1x = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -1x = 0 + -68
-1x = 0 + -68

Combine like terms: 0 + -68 = -68
-1x = -68

Divide each side by '-1'.
x = 68

Simplifying
x = 68
Solution
x = {-82, 68}