(2x+4)(6x-8)=

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Solution for (2x+4)(6x-8)= equation: 


Simplifying
(2x + 4)(6x + -8) = 0

Reorder the terms:
(4 + 2x)(6x + -8) = 0

Reorder the terms:
(4 + 2x)(-8 + 6x) = 0

Multiply (4 + 2x) * (-8 + 6x)
(4(-8 + 6x) + 2x * (-8 + 6x)) = 0
((-8 * 4 + 6x * 4) + 2x * (-8 + 6x)) = 0
((-32 + 24x) + 2x * (-8 + 6x)) = 0
(-32 + 24x + (-8 * 2x + 6x * 2x)) = 0
(-32 + 24x + (-16x + 12x2)) = 0

Combine like terms: 24x + -16x = 8x
(-32 + 8x + 12x2) = 0

Solving
-32 + 8x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 2x + 3x2) = 0

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

Ignore the factor 4.

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 '(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 = {-2, 1.333333333}

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