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

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


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

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

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

Multiply (8 + 2x) * (4 + -6x)
(8(4 + -6x) + 2x * (4 + -6x)) = 0
((4 * 8 + -6x * 8) + 2x * (4 + -6x)) = 0
((32 + -48x) + 2x * (4 + -6x)) = 0
(32 + -48x + (4 * 2x + -6x * 2x)) = 0
(32 + -48x + (8x + -12x2)) = 0

Combine like terms: -48x + 8x = -40x
(32 + -40x + -12x2) = 0

Solving
32 + -40x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -10x + -3x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0.6666666667, -4}

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