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

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


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

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

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

Multiply (2 + 6x) * (-2 + 9x)
(2(-2 + 9x) + 6x * (-2 + 9x)) = 0
((-2 * 2 + 9x * 2) + 6x * (-2 + 9x)) = 0
((-4 + 18x) + 6x * (-2 + 9x)) = 0
(-4 + 18x + (-2 * 6x + 9x * 6x)) = 0
(-4 + 18x + (-12x + 54x2)) = 0

Combine like terms: 18x + -12x = 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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