0=4x^2+40x-156

Solution for 0=4x^2+40x-156 equation:

Simplifying
0 = 4x2 + 40x + -156

Reorder the terms:
0 = -156 + 40x + 4x2

Solving
0 = -156 + 40x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 156 = 156
156 + -40x + -4x2 = -156 + 40x + 4x2 + 156 + -40x + -4x2

Reorder the terms:
156 + -40x + -4x2 = -156 + 156 + 40x + -40x + 4x2 + -4x2

Combine like terms: -156 + 156 = 0
156 + -40x + -4x2 = 0 + 40x + -40x + 4x2 + -4x2
156 + -40x + -4x2 = 40x + -40x + 4x2 + -4x2

Combine like terms: 40x + -40x = 0
156 + -40x + -4x2 = 0 + 4x2 + -4x2
156 + -40x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
156 + -40x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(39 + -10x + -1x2) = 0

Factor a trinomial.
4((3 + -1x)(13 + x)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {3, -13}