-4x(3x-4)+4=-12+20

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Solution for -4x(3x-4)+4=-12+20 equation: 


Simplifying
-4x(3x + -4) + 4 = -12 + 20

Reorder the terms:
-4x(-4 + 3x) + 4 = -12 + 20
(-4 * -4x + 3x * -4x) + 4 = -12 + 20
(16x + -12x2) + 4 = -12 + 20

Reorder the terms:
4 + 16x + -12x2 = -12 + 20

Combine like terms: -12 + 20 = 8
4 + 16x + -12x2 = 8

Solving
4 + 16x + -12x2 = 8

Solving for variable 'x'.

Reorder the terms:
4 + -8 + 16x + -12x2 = 8 + -8

Combine like terms: 4 + -8 = -4
-4 + 16x + -12x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-4 + 16x + -12x2 = 0

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

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

Ignore the factor 4.

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

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

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {1, 0.3333333333}

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