(-9x-2)(6x+4)=

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Solution for (-9x-2)(6x+4)= equation: 


Simplifying
(-9x + -2)(6x + 4) = 0

Reorder the terms:
(-2 + -9x)(6x + 4) = 0

Reorder the terms:
(-2 + -9x)(4 + 6x) = 0

Multiply (-2 + -9x) * (4 + 6x)
(-2(4 + 6x) + -9x * (4 + 6x)) = 0
((4 * -2 + 6x * -2) + -9x * (4 + 6x)) = 0
((-8 + -12x) + -9x * (4 + 6x)) = 0
(-8 + -12x + (4 * -9x + 6x * -9x)) = 0
(-8 + -12x + (-36x + -54x2)) = 0

Combine like terms: -12x + -36x = -48x
(-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 + 3x)(2 + 9x)) = 0

Ignore the factor -2.

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 + 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 = {-0.6666666667, -0.2222222222}

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