0=4x^2+12x-160

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Solution for 0=4x^2+12x-160 equation: 


Simplifying
0 = 4x2 + 12x + -160

Reorder the terms:
0 = -160 + 12x + 4x2

Solving
0 = -160 + 12x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 160 = 160
160 + -12x + -4x2 = -160 + 12x + 4x2 + 160 + -12x + -4x2

Reorder the terms:
160 + -12x + -4x2 = -160 + 160 + 12x + -12x + 4x2 + -4x2

Combine like terms: -160 + 160 = 0
160 + -12x + -4x2 = 0 + 12x + -12x + 4x2 + -4x2
160 + -12x + -4x2 = 12x + -12x + 4x2 + -4x2

Combine like terms: 12x + -12x = 0
160 + -12x + -4x2 = 0 + 4x2 + -4x2
160 + -12x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
160 + -12x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(40 + -3x + -1x2) = 0

Factor a trinomial.
4((5 + -1x)(8 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {5, -8}

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