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

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


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

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

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

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

Combine like terms: 8x + 48x = 56x
(32 + 56x + 12x2) = 0

Solving
32 + 56x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + 14x + 3x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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 = {-4, -0.6666666667}

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