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

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


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

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

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

Multiply (-8 + 3x) * (-8 + 4x)
(-8(-8 + 4x) + 3x * (-8 + 4x)) = 0
((-8 * -8 + 4x * -8) + 3x * (-8 + 4x)) = 0
((64 + -32x) + 3x * (-8 + 4x)) = 0
(64 + -32x + (-8 * 3x + 4x * 3x)) = 0
(64 + -32x + (-24x + 12x2)) = 0

Combine like terms: -32x + -24x = -56x
(64 + -56x + 12x2) = 0

Solving
64 + -56x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -14x + 3x2) = 0

Factor a trinomial.
4((2 + -1x)(8 + -3x)) = 0

Ignore the factor 4.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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 = {2, 2.666666667}

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