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

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


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

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

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

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

Combine like terms: -2x + 6x = 4x
x(-4 + 4x + 3x2) = 0
(-4 * x + 4x * x + 3x2 * x) = 0
(-4x + 4x2 + 3x3) = 0

Solving
-4x + 4x2 + 3x3 = 0

Solving for variable 'x'.

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

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
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
Solution
x = {0, -2, 0.6666666667}

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