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

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


Simplifying
(8x + -2)(3x + 6) = 0

Reorder the terms:
(-2 + 8x)(3x + 6) = 0

Reorder the terms:
(-2 + 8x)(6 + 3x) = 0

Multiply (-2 + 8x) * (6 + 3x)
(-2(6 + 3x) + 8x * (6 + 3x)) = 0
((6 * -2 + 3x * -2) + 8x * (6 + 3x)) = 0
((-12 + -6x) + 8x * (6 + 3x)) = 0
(-12 + -6x + (6 * 8x + 3x * 8x)) = 0
(-12 + -6x + (48x + 24x2)) = 0

Combine like terms: -6x + 48x = 42x
(-12 + 42x + 24x2) = 0

Solving
-12 + 42x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 7x + 4x2) = 0

Factor a trinomial.
6((-2 + -1x)(1 + -4x)) = 0

Ignore the factor 6.

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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-2, 0.25}

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