(-12x+8)(-15-11x)=

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Solution for (-12x+8)(-15-11x)= equation:


Simplifying
(-12x + 8)(-15 + -11x) = 0

Reorder the terms:
(8 + -12x)(-15 + -11x) = 0

Multiply (8 + -12x) * (-15 + -11x)
(8(-15 + -11x) + -12x * (-15 + -11x)) = 0
((-15 * 8 + -11x * 8) + -12x * (-15 + -11x)) = 0
((-120 + -88x) + -12x * (-15 + -11x)) = 0
(-120 + -88x + (-15 * -12x + -11x * -12x)) = 0
(-120 + -88x + (180x + 132x2)) = 0

Combine like terms: -88x + 180x = 92x
(-120 + 92x + 132x2) = 0

Solving
-120 + 92x + 132x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + 23x + 33x2) = 0

Factor a trinomial.
4((-15 + -11x)(2 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-15 + -11x)' equal to zero and attempt to solve:

Simplifying
-15 + -11x = 0

Solving
-15 + -11x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -11x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -11x = 0 + 15
-11x = 0 + 15

Combine like terms: 0 + 15 = 15
-11x = 15

Divide each side by '-11'.
x = -1.363636364

Simplifying
x = -1.363636364

Subproblem 2
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
Solution
x = {-1.363636364, 0.6666666667}

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