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

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


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

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

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

Multiply (-2 + 6x) * (4 + 2x)
(-2(4 + 2x) + 6x * (4 + 2x)) = 0
((4 * -2 + 2x * -2) + 6x * (4 + 2x)) = 0
((-8 + -4x) + 6x * (4 + 2x)) = 0
(-8 + -4x + (4 * 6x + 2x * 6x)) = 0
(-8 + -4x + (24x + 12x2)) = 0

Combine like terms: -4x + 24x = 20x
(-8 + 20x + 12x2) = 0

Solving
-8 + 20x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 5x + 3x2) = 0

Factor a trinomial.
4((-2 + -1x)(1 + -3x)) = 0

Ignore the factor 4.

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 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-2, 0.3333333333}

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