(2x-6)(4x-4)=

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Solution for (2x-6)(4x-4)= equation: 


Simplifying
(2x + -6)(4x + -4) = 0

Reorder the terms:
(-6 + 2x)(4x + -4) = 0

Reorder the terms:
(-6 + 2x)(-4 + 4x) = 0

Multiply (-6 + 2x) * (-4 + 4x)
(-6(-4 + 4x) + 2x * (-4 + 4x)) = 0
((-4 * -6 + 4x * -6) + 2x * (-4 + 4x)) = 0
((24 + -24x) + 2x * (-4 + 4x)) = 0
(24 + -24x + (-4 * 2x + 4x * 2x)) = 0
(24 + -24x + (-8x + 8x2)) = 0

Combine like terms: -24x + -8x = -32x
(24 + -32x + 8x2) = 0

Solving
24 + -32x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + -4x + x2) = 0

Factor a trinomial.
8((1 + -1x)(3 + -1x)) = 0

Ignore the factor 8.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1, 3}

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