2x^2+56x-1920=0

Solution for 2x^2+56x-1920=0 equation:

Simplifying
2x2 + 56x + -1920 = 0

Reorder the terms:
-1920 + 56x + 2x2 = 0

Solving
-1920 + 56x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-960 + 28x + x2) = 0

Factor a trinomial.
2((-48 + -1x)(20 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-48 + -1x)' equal to zero and attempt to solve:

Simplifying
-48 + -1x = 0

Solving
-48 + -1x = 0

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

Add '48' to each side of the equation.
-48 + 48 + -1x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = 0 + 48
-1x = 0 + 48

Combine like terms: 0 + 48 = 48
-1x = 48

Divide each side by '-1'.
x = -48

Simplifying
x = -48
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-48, 20}