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

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


Simplifying
(-8 + x)(4x + -4) = 0

Reorder the terms:
(-8 + x)(-4 + 4x) = 0

Multiply (-8 + x) * (-4 + 4x)
(-8(-4 + 4x) + x(-4 + 4x)) = 0
((-4 * -8 + 4x * -8) + x(-4 + 4x)) = 0
((32 + -32x) + x(-4 + 4x)) = 0
(32 + -32x + (-4 * x + 4x * x)) = 0
(32 + -32x + (-4x + 4x2)) = 0

Combine like terms: -32x + -4x = -36x
(32 + -36x + 4x2) = 0

Solving
32 + -36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -9x + x2) = 0

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

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {1, 8}

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