4x^2+40x=156

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

Simplifying
4x2 + 40x = 156

Reorder the terms:
40x + 4x2 = 156

Solving
40x + 4x2 = 156

Solving for variable 'x'.

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

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

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

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

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

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 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 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

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