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

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


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

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

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

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

Combine like terms: 48x + -8x = 40x
(-64 + 40x + 6x2) = 0

Solving
-64 + 40x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 20x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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 = {-8, 1.333333333}

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