(-4x-4)(3x+2)=

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Solution for (-4x-4)(3x+2)= equation:


Simplifying
(-4x + -4)(3x + 2) = 0

Reorder the terms:
(-4 + -4x)(3x + 2) = 0

Reorder the terms:
(-4 + -4x)(2 + 3x) = 0

Multiply (-4 + -4x) * (2 + 3x)
(-4(2 + 3x) + -4x * (2 + 3x)) = 0
((2 * -4 + 3x * -4) + -4x * (2 + 3x)) = 0
((-8 + -12x) + -4x * (2 + 3x)) = 0
(-8 + -12x + (2 * -4x + 3x * -4x)) = 0
(-8 + -12x + (-8x + -12x2)) = 0

Combine like terms: -12x + -8x = -20x
(-8 + -20x + -12x2) = 0

Solving
-8 + -20x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(2 + 5x + 3x2) = 0

Factor a trinomial.
-4((1 + x)(2 + 3x)) = 0

Ignore the factor -4.

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1

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, -0.6666666667}

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