(4x-4)(3x-8)=

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Solution for (4x-4)(3x-8)= equation: 


Simplifying
(4x + -4)(3x + -8) = 0

Reorder the terms:
(-4 + 4x)(3x + -8) = 0

Reorder the terms:
(-4 + 4x)(-8 + 3x) = 0

Multiply (-4 + 4x) * (-8 + 3x)
(-4(-8 + 3x) + 4x * (-8 + 3x)) = 0
((-8 * -4 + 3x * -4) + 4x * (-8 + 3x)) = 0
((32 + -12x) + 4x * (-8 + 3x)) = 0
(32 + -12x + (-8 * 4x + 3x * 4x)) = 0
(32 + -12x + (-32x + 12x2)) = 0

Combine like terms: -12x + -32x = -44x
(32 + -44x + 12x2) = 0

Solving
32 + -44x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -11x + 3x2) = 0

Factor a trinomial.
4((1 + -1x)(8 + -3x)) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {1, 2.666666667}

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