(-15x-8)(13+12x)=

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Solution for (-15x-8)(13+12x)= equation:


Simplifying
(-15x + -8)(13 + 12x) = 0

Reorder the terms:
(-8 + -15x)(13 + 12x) = 0

Multiply (-8 + -15x) * (13 + 12x)
(-8(13 + 12x) + -15x * (13 + 12x)) = 0
((13 * -8 + 12x * -8) + -15x * (13 + 12x)) = 0
((-104 + -96x) + -15x * (13 + 12x)) = 0
(-104 + -96x + (13 * -15x + 12x * -15x)) = 0
(-104 + -96x + (-195x + -180x2)) = 0

Combine like terms: -96x + -195x = -291x
(-104 + -291x + -180x2) = 0

Solving
-104 + -291x + -180x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(104 + 291x + 180x2) = 0

Factor a trinomial.
-1((13 + 12x)(8 + 15x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 12x)' equal to zero and attempt to solve:

Simplifying
13 + 12x = 0

Solving
13 + 12x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 12x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = 0 + -13
12x = 0 + -13

Combine like terms: 0 + -13 = -13
12x = -13

Divide each side by '12'.
x = -1.083333333

Simplifying
x = -1.083333333

Subproblem 2
Set the factor '(8 + 15x)' equal to zero and attempt to solve:

Simplifying
8 + 15x = 0

Solving
8 + 15x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 15x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = 0 + -8
15x = 0 + -8

Combine like terms: 0 + -8 = -8
15x = -8

Divide each side by '15'.
x = -0.5333333333

Simplifying
x = -0.5333333333
Solution
x = {-1.083333333, -0.5333333333}

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