8-8x+4=4x(-1+4x)

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Solution for 8-8x+4=4x(-1+4x) equation: 


Simplifying
8 + -8x + 4 = 4x(-1 + 4x)

Reorder the terms:
8 + 4 + -8x = 4x(-1 + 4x)

Combine like terms: 8 + 4 = 12
12 + -8x = 4x(-1 + 4x)
12 + -8x = (-1 * 4x + 4x * 4x)
12 + -8x = (-4x + 16x2)

Solving
12 + -8x = -4x + 16x2

Solving for variable 'x'.

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

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

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

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

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

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

Ignore the factor 4.

Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
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
Solution
x = {0.75, -1}

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