(3x-2)(4x-4)=0

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Solution for (3x-2)(4x-4)=0 equation: 


Simplifying
(3x + -2)(4x + -4) = 0

Reorder the terms:
(-2 + 3x)(4x + -4) = 0

Reorder the terms:
(-2 + 3x)(-4 + 4x) = 0

Multiply (-2 + 3x) * (-4 + 4x)
(-2(-4 + 4x) + 3x * (-4 + 4x)) = 0
((-4 * -2 + 4x * -2) + 3x * (-4 + 4x)) = 0
((8 + -8x) + 3x * (-4 + 4x)) = 0
(8 + -8x + (-4 * 3x + 4x * 3x)) = 0
(8 + -8x + (-12x + 12x2)) = 0

Combine like terms: -8x + -12x = -20x
(8 + -20x + 12x2) = 0

Solving
8 + -20x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -5x + 3x2) = 0

Factor a trinomial.
4((2 + -3x)(1 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
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
Solution
x = {0.6666666667, 1}

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