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

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


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

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

Combine like terms: -6x + -6x = -12x
3(4 + -12x + 9x2) = 0
(4 * 3 + -12x * 3 + 9x2 * 3) = 0
(12 + -36x + 27x2) = 0

Solving
12 + -36x + 27x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -12x + 9x2) = 0

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

Ignore the factor 3.

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 '(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 = {0.6666666667, 0.6666666667}

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