(11x+12)(-9x-15)=0

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Solution for (11x+12)(-9x-15)=0 equation: 


Simplifying
(11x + 12)(-9x + -15) = 0

Reorder the terms:
(12 + 11x)(-9x + -15) = 0

Reorder the terms:
(12 + 11x)(-15 + -9x) = 0

Multiply (12 + 11x) * (-15 + -9x)
(12(-15 + -9x) + 11x * (-15 + -9x)) = 0
((-15 * 12 + -9x * 12) + 11x * (-15 + -9x)) = 0
((-180 + -108x) + 11x * (-15 + -9x)) = 0
(-180 + -108x + (-15 * 11x + -9x * 11x)) = 0
(-180 + -108x + (-165x + -99x2)) = 0

Combine like terms: -108x + -165x = -273x
(-180 + -273x + -99x2) = 0

Solving
-180 + -273x + -99x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(60 + 91x + 33x2) = 0

Factor a trinomial.
-3((5 + 3x)(12 + 11x)) = 0

Ignore the factor -3.

Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(12 + 11x)' equal to zero and attempt to solve:

Simplifying
12 + 11x = 0

Solving
12 + 11x = 0

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

Add '-12' to each side of the equation.
12 + -12 + 11x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 0 + -12
11x = 0 + -12

Combine like terms: 0 + -12 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091
Solution
x = {-1.666666667, -1.090909091}

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