4x^2+140x-456=0

Solution for 4x^2+140x-456=0 equation:

Simplifying
4x2 + 140x + -456 = 0

Reorder the terms:
-456 + 140x + 4x2 = 0

Solving
-456 + 140x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-114 + 35x + x2) = 0

Factor a trinomial.
4((-38 + -1x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-38 + -1x)' equal to zero and attempt to solve:

Simplifying
-38 + -1x = 0

Solving
-38 + -1x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -1x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -1x = 0 + 38
-1x = 0 + 38

Combine like terms: 0 + 38 = 38
-1x = 38

Divide each side by '-1'.
x = -38

Simplifying
x = -38
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-38, 3}