(-4x-4)(-3x-7)=

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Solution for (-4x-4)(-3x-7)= equation: 


Simplifying
(-4x + -4)(-3x + -7) = 0

Reorder the terms:
(-4 + -4x)(-3x + -7) = 0

Reorder the terms:
(-4 + -4x)(-7 + -3x) = 0

Multiply (-4 + -4x) * (-7 + -3x)
(-4(-7 + -3x) + -4x * (-7 + -3x)) = 0
((-7 * -4 + -3x * -4) + -4x * (-7 + -3x)) = 0
((28 + 12x) + -4x * (-7 + -3x)) = 0
(28 + 12x + (-7 * -4x + -3x * -4x)) = 0
(28 + 12x + (28x + 12x2)) = 0

Combine like terms: 12x + 28x = 40x
(28 + 40x + 12x2) = 0

Solving
28 + 40x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 10x + 3x2) = 0

Factor a trinomial.
4((7 + 3x)(1 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
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
Solution
x = {-2.333333333, -1}

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