0=4x^2+2x-156

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


Simplifying
0 = 4x2 + 2x + -156

Reorder the terms:
0 = -156 + 2x + 4x2

Solving
0 = -156 + 2x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 156 = 156
156 + -2x + -4x2 = -156 + 2x + 4x2 + 156 + -2x + -4x2

Reorder the terms:
156 + -2x + -4x2 = -156 + 156 + 2x + -2x + 4x2 + -4x2

Combine like terms: -156 + 156 = 0
156 + -2x + -4x2 = 0 + 2x + -2x + 4x2 + -4x2
156 + -2x + -4x2 = 2x + -2x + 4x2 + -4x2

Combine like terms: 2x + -2x = 0
156 + -2x + -4x2 = 0 + 4x2 + -4x2
156 + -2x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
156 + -2x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(78 + -1x + -2x2) = 0

Factor a trinomial.
2((6 + -1x)(13 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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

Simplifying
13 + 2x = 0

Solving
13 + 2x = 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 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5
Solution
x = {6, -6.5}

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