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

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Solution for (8x-6)(2x+8)=0 equation: 


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

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

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

Multiply (-6 + 8x) * (8 + 2x)
(-6(8 + 2x) + 8x * (8 + 2x)) = 0
((8 * -6 + 2x * -6) + 8x * (8 + 2x)) = 0
((-48 + -12x) + 8x * (8 + 2x)) = 0
(-48 + -12x + (8 * 8x + 2x * 8x)) = 0
(-48 + -12x + (64x + 16x2)) = 0

Combine like terms: -12x + 64x = 52x
(-48 + 52x + 16x2) = 0

Solving
-48 + 52x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + 13x + 4x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-4, 0.75}

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