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

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


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

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

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

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

Multiply (-2 + 3x) * (-2 + 3x)
x(-2(-2 + 3x) + 3x * (-2 + 3x)) = 0
x((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = 0
x((4 + -6x) + 3x * (-2 + 3x)) = 0
x(4 + -6x + (-2 * 3x + 3x * 3x)) = 0
x(4 + -6x + (-6x + 9x2)) = 0

Combine like terms: -6x + -6x = -12x
x(4 + -12x + 9x2) = 0
(4 * x + -12x * x + 9x2 * x) = 0
(4x + -12x2 + 9x3) = 0

Solving
4x + -12x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -12x + 9x2) = 0

Factor a trinomial.
x((2 + -3x)(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 + -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 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, 0.6666666667, 0.6666666667}

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