2x^2-568x-34944=0

Solution for 2x^2-568x-34944=0 equation:

Simplifying
2x2 + -568x + -34944 = 0

Reorder the terms:
-34944 + -568x + 2x2 = 0

Solving
-34944 + -568x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-17472 + -284x + x2) = 0

Factor a trinomial.
2((-52 + -1x)(336 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-52 + -1x)' equal to zero and attempt to solve:

Simplifying
-52 + -1x = 0

Solving
-52 + -1x = 0

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

Add '52' to each side of the equation.
-52 + 52 + -1x = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -1x = 0 + 52
-1x = 0 + 52

Combine like terms: 0 + 52 = 52
-1x = 52

Divide each side by '-1'.
x = -52

Simplifying
x = -52
Subproblem 2
Set the factor '(336 + -1x)' equal to zero and attempt to solve:

Simplifying
336 + -1x = 0

Solving
336 + -1x = 0

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

Add '-336' to each side of the equation.
336 + -336 + -1x = 0 + -336

Combine like terms: 336 + -336 = 0
0 + -1x = 0 + -336
-1x = 0 + -336

Combine like terms: 0 + -336 = -336
-1x = -336

Divide each side by '-1'.
x = 336

Simplifying
x = 336
Solution
x = {-52, 336}