(3x-1)(2x+2)=

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Solution for (3x-1)(2x+2)= equation: 


Simplifying
(3x + -1)(2x + 2) = 0

Reorder the terms:
(-1 + 3x)(2x + 2) = 0

Reorder the terms:
(-1 + 3x)(2 + 2x) = 0

Multiply (-1 + 3x) * (2 + 2x)
(-1(2 + 2x) + 3x * (2 + 2x)) = 0
((2 * -1 + 2x * -1) + 3x * (2 + 2x)) = 0
((-2 + -2x) + 3x * (2 + 2x)) = 0
(-2 + -2x + (2 * 3x + 2x * 3x)) = 0
(-2 + -2x + (6x + 6x2)) = 0

Combine like terms: -2x + 6x = 4x
(-2 + 4x + 6x2) = 0

Solving
-2 + 4x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 2x + 3x2) = 0

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

Ignore the factor 2.

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1

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 = {-1, 0.3333333333}

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