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

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


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

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

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

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

Combine like terms: -2x + -2x = -4x
3x(1 + -4x + 4x2) = 0
(1 * 3x + -4x * 3x + 4x2 * 3x) = 0
(3x + -12x2 + 12x3) = 0

Solving
3x + -12x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(1 + -4x + 4x2) = 0

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

Ignore the factor 3.

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 '(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

Subproblem 3
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, 0.5, 0.5}

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