(6x-4)(4x+8)=

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Solution for (6x-4)(4x+8)= equation: 


Simplifying
(6x + -4)(4x + 8) = 0

Reorder the terms:
(-4 + 6x)(4x + 8) = 0

Reorder the terms:
(-4 + 6x)(8 + 4x) = 0

Multiply (-4 + 6x) * (8 + 4x)
(-4(8 + 4x) + 6x * (8 + 4x)) = 0
((8 * -4 + 4x * -4) + 6x * (8 + 4x)) = 0
((-32 + -16x) + 6x * (8 + 4x)) = 0
(-32 + -16x + (8 * 6x + 4x * 6x)) = 0
(-32 + -16x + (48x + 24x2)) = 0

Combine like terms: -16x + 48x = 32x
(-32 + 32x + 24x2) = 0

Solving
-32 + 32x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-4 + 4x + 3x2) = 0

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

Ignore the factor 8.

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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-2, 0.6666666667}

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