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

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


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

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

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

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

Multiply (-1 + 2x) * (-2 + -3x)
-2(-1(-2 + -3x) + 2x * (-2 + -3x)) = 0
-2((-2 * -1 + -3x * -1) + 2x * (-2 + -3x)) = 0
-2((2 + 3x) + 2x * (-2 + -3x)) = 0
-2(2 + 3x + (-2 * 2x + -3x * 2x)) = 0
-2(2 + 3x + (-4x + -6x2)) = 0

Combine like terms: 3x + -4x = -1x
-2(2 + -1x + -6x2) = 0
(2 * -2 + -1x * -2 + -6x2 * -2) = 0
(-4 + 2x + 12x2) = 0

Solving
-4 + 2x + 12x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.6666666667, 0.5}

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