(11x+10)(-4x-12)=

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Solution for (11x+10)(-4x-12)= equation: 


Simplifying
(11x + 10)(-4x + -12) = 0

Reorder the terms:
(10 + 11x)(-4x + -12) = 0

Reorder the terms:
(10 + 11x)(-12 + -4x) = 0

Multiply (10 + 11x) * (-12 + -4x)
(10(-12 + -4x) + 11x * (-12 + -4x)) = 0
((-12 * 10 + -4x * 10) + 11x * (-12 + -4x)) = 0
((-120 + -40x) + 11x * (-12 + -4x)) = 0
(-120 + -40x + (-12 * 11x + -4x * 11x)) = 0
(-120 + -40x + (-132x + -44x2)) = 0

Combine like terms: -40x + -132x = -172x
(-120 + -172x + -44x2) = 0

Solving
-120 + -172x + -44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(30 + 43x + 11x2) = 0

Factor a trinomial.
-4((3 + x)(10 + 11x)) = 0

Ignore the factor -4.

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3

Subproblem 2
Set the factor '(10 + 11x)' equal to zero and attempt to solve:

Simplifying
10 + 11x = 0

Solving
10 + 11x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 0 + -10
11x = 0 + -10

Combine like terms: 0 + -10 = -10
11x = -10

Divide each side by '11'.
x = -0.9090909091

Simplifying
x = -0.9090909091
Solution
x = {-3, -0.9090909091}

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