(-8x-2)(2x-3)=6

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Solution for (-8x-2)(2x-3)=6 equation: 


Simplifying
(-8x + -2)(2x + -3) = 6

Reorder the terms:
(-2 + -8x)(2x + -3) = 6

Reorder the terms:
(-2 + -8x)(-3 + 2x) = 6

Multiply (-2 + -8x) * (-3 + 2x)
(-2(-3 + 2x) + -8x * (-3 + 2x)) = 6
((-3 * -2 + 2x * -2) + -8x * (-3 + 2x)) = 6
((6 + -4x) + -8x * (-3 + 2x)) = 6
(6 + -4x + (-3 * -8x + 2x * -8x)) = 6
(6 + -4x + (24x + -16x2)) = 6

Combine like terms: -4x + 24x = 20x
(6 + 20x + -16x2) = 6

Add '-6' to each side of the equation.
6 + 20x + -6 + -16x2 = 6 + -6

Reorder the terms:
6 + -6 + 20x + -16x2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + 20x + -16x2 = 6 + -6
20x + -16x2 = 6 + -6

Combine like terms: 6 + -6 = 0
20x + -16x2 = 0

Solving
20x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(5 + -4x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0, 1.25}

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