(4x-4)(x-4)=

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


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

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

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

Multiply (-4 + 4x) * (-4 + x)
(-4(-4 + x) + 4x * (-4 + x)) = 0
((-4 * -4 + x * -4) + 4x * (-4 + x)) = 0
((16 + -4x) + 4x * (-4 + x)) = 0
(16 + -4x + (-4 * 4x + x * 4x)) = 0
(16 + -4x + (-16x + 4x2)) = 0

Combine like terms: -4x + -16x = -20x
(16 + -20x + 4x2) = 0

Solving
16 + -20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -5x + x2) = 0

Factor a trinomial.
4((1 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {1, 4}

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