(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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