(9x+3)(-4x-2)=

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Solution for (9x+3)(-4x-2)= equation: 


Simplifying
(9x + 3)(-4x + -2) = 0

Reorder the terms:
(3 + 9x)(-4x + -2) = 0

Reorder the terms:
(3 + 9x)(-2 + -4x) = 0

Multiply (3 + 9x) * (-2 + -4x)
(3(-2 + -4x) + 9x * (-2 + -4x)) = 0
((-2 * 3 + -4x * 3) + 9x * (-2 + -4x)) = 0
((-6 + -12x) + 9x * (-2 + -4x)) = 0
(-6 + -12x + (-2 * 9x + -4x * 9x)) = 0
(-6 + -12x + (-18x + -36x2)) = 0

Combine like terms: -12x + -18x = -30x
(-6 + -30x + -36x2) = 0

Solving
-6 + -30x + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-6'.
-6(1 + 5x + 6x2) = 0

Factor a trinomial.
-6((1 + 2x)(1 + 3x)) = 0

Ignore the factor -6.

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
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
Solution
x = {-0.5, -0.3333333333}

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