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((-336 + -1x)(52 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
x = {-336, 52}