(-2x-9)(6x+3)=

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Solution for (-2x-9)(6x+3)= equation: 


Simplifying
(-2x + -9)(6x + 3) = 0

Reorder the terms:
(-9 + -2x)(6x + 3) = 0

Reorder the terms:
(-9 + -2x)(3 + 6x) = 0

Multiply (-9 + -2x) * (3 + 6x)
(-9(3 + 6x) + -2x * (3 + 6x)) = 0
((3 * -9 + 6x * -9) + -2x * (3 + 6x)) = 0
((-27 + -54x) + -2x * (3 + 6x)) = 0
(-27 + -54x + (3 * -2x + 6x * -2x)) = 0
(-27 + -54x + (-6x + -12x2)) = 0

Combine like terms: -54x + -6x = -60x
(-27 + -60x + -12x2) = 0

Solving
-27 + -60x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(9 + 20x + 4x2) = 0

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

Ignore the factor -3.

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

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

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

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

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
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
Solution
x = {-4.5, -0.5}

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