(9X-2)(6X+2)=

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Solution for (9X-2)(6X+2)= equation: 


Simplifying
(9X + -2)(6X + 2) = 0

Reorder the terms:
(-2 + 9X)(6X + 2) = 0

Reorder the terms:
(-2 + 9X)(2 + 6X) = 0

Multiply (-2 + 9X) * (2 + 6X)
(-2(2 + 6X) + 9X * (2 + 6X)) = 0
((2 * -2 + 6X * -2) + 9X * (2 + 6X)) = 0
((-4 + -12X) + 9X * (2 + 6X)) = 0
(-4 + -12X + (2 * 9X + 6X * 9X)) = 0
(-4 + -12X + (18X + 54X2)) = 0

Combine like terms: -12X + 18X = 6X
(-4 + 6X + 54X2) = 0

Solving
-4 + 6X + 54X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 3X + 27X2) = 0

Factor a trinomial.
2((-1 + -3X)(2 + -9X)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -3X)' equal to zero and attempt to solve:

Simplifying
-1 + -3X = 0

Solving
-1 + -3X = 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 + -3X = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3X = 0 + 1
-3X = 0 + 1

Combine like terms: 0 + 1 = 1
-3X = 1

Divide each side by '-3'.
X = -0.3333333333

Simplifying
X = -0.3333333333

Subproblem 2
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
Solution
X = {-0.3333333333, 0.2222222222}

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