(6x-8)(6x-8)=

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Solution for (6x-8)(6x-8)= equation: 


Simplifying
(6x + -8)(6x + -8) = 0

Reorder the terms:
(-8 + 6x)(6x + -8) = 0

Reorder the terms:
(-8 + 6x)(-8 + 6x) = 0

Multiply (-8 + 6x) * (-8 + 6x)
(-8(-8 + 6x) + 6x * (-8 + 6x)) = 0
((-8 * -8 + 6x * -8) + 6x * (-8 + 6x)) = 0
((64 + -48x) + 6x * (-8 + 6x)) = 0
(64 + -48x + (-8 * 6x + 6x * 6x)) = 0
(64 + -48x + (-48x + 36x2)) = 0

Combine like terms: -48x + -48x = -96x
(64 + -96x + 36x2) = 0

Solving
64 + -96x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(16 + -24x + 9x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.333333333, 1.333333333}

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