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

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Solution for (6x+8)(8x-8)=0 equation: 


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

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

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

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

Combine like terms: 64x + -48x = 16x
(-64 + 16x + 48x2) = 0

Solving
-64 + 16x + 48x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
16((-4 + -3x)(1 + -1x)) = 0

Ignore the factor 16.

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 '(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 = {-1.333333333, 1}

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