2(9x-2)(3x-2)=

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Solution for 2(9x-2)(3x-2)= equation: 


Simplifying
2(9x + -2)(3x + -2) = 0

Reorder the terms:
2(-2 + 9x)(3x + -2) = 0

Reorder the terms:
2(-2 + 9x)(-2 + 3x) = 0

Multiply (-2 + 9x) * (-2 + 3x)
2(-2(-2 + 3x) + 9x * (-2 + 3x)) = 0
2((-2 * -2 + 3x * -2) + 9x * (-2 + 3x)) = 0
2((4 + -6x) + 9x * (-2 + 3x)) = 0
2(4 + -6x + (-2 * 9x + 3x * 9x)) = 0
2(4 + -6x + (-18x + 27x2)) = 0

Combine like terms: -6x + -18x = -24x
2(4 + -24x + 27x2) = 0
(4 * 2 + -24x * 2 + 27x2 * 2) = 0
(8 + -48x + 54x2) = 0

Solving
8 + -48x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -24x + 27x2) = 0

Factor a trinomial.
2((2 + -9x)(2 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 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 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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 = {0.2222222222, 0.6666666667}

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