((-3x)-2)(4x-4)=((-3x)-2)(11x+1)

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Solution for ((-3x)-2)(4x-4)=((-3x)-2)(11x+1) equation: 


Simplifying
((-3x) + -2)(4x + -4) = ((-3x) + -2)(11x + 1)

Reorder the terms:
(-2 + (-3x))(4x + -4) = ((-3x) + -2)(11x + 1)

Reorder the terms:
(-2 + (-3x))(-4 + 4x) = ((-3x) + -2)(11x + 1)

Multiply (-2 + (-3x)) * (-4 + 4x)
(-2(-4 + 4x) + (-3x)(-4 + 4x)) = ((-3x) + -2)(11x + 1)
((-4 * -2 + 4x * -2) + (-3x)(-4 + 4x)) = ((-3x) + -2)(11x + 1)
((8 + -8x) + (-3x)(-4 + 4x)) = ((-3x) + -2)(11x + 1)
(8 + -8x + (-4 * -3x + 4x * -3x)) = ((-3x) + -2)(11x + 1)
(8 + -8x + (12x + -12x2)) = ((-3x) + -2)(11x + 1)

Combine like terms: -8x + 12x = 4x
(8 + 4x + -12x2) = ((-3x) + -2)(11x + 1)

Reorder the terms:
8 + 4x + -12x2 = (-2 + (-3x))(11x + 1)

Reorder the terms:
8 + 4x + -12x2 = (-2 + (-3x))(1 + 11x)

Multiply (-2 + (-3x)) * (1 + 11x)
8 + 4x + -12x2 = (-2(1 + 11x) + (-3x)(1 + 11x))
8 + 4x + -12x2 = ((1 * -2 + 11x * -2) + (-3x)(1 + 11x))
8 + 4x + -12x2 = ((-2 + -22x) + (-3x)(1 + 11x))
8 + 4x + -12x2 = (-2 + -22x + (1 * -3x + 11x * -3x))
8 + 4x + -12x2 = (-2 + -22x + (-3x + -33x2))

Combine like terms: -22x + -3x = -25x
8 + 4x + -12x2 = (-2 + -25x + -33x2)

Solving
8 + 4x + -12x2 = -2 + -25x + -33x2

Solving for variable 'x'.

Reorder the terms:
8 + 2 + 4x + 25x + -12x2 + 33x2 = -2 + -25x + -33x2 + 2 + 25x + 33x2

Combine like terms: 8 + 2 = 10
10 + 4x + 25x + -12x2 + 33x2 = -2 + -25x + -33x2 + 2 + 25x + 33x2

Combine like terms: 4x + 25x = 29x
10 + 29x + -12x2 + 33x2 = -2 + -25x + -33x2 + 2 + 25x + 33x2

Combine like terms: -12x2 + 33x2 = 21x2
10 + 29x + 21x2 = -2 + -25x + -33x2 + 2 + 25x + 33x2

Reorder the terms:
10 + 29x + 21x2 = -2 + 2 + -25x + 25x + -33x2 + 33x2

Combine like terms: -2 + 2 = 0
10 + 29x + 21x2 = 0 + -25x + 25x + -33x2 + 33x2
10 + 29x + 21x2 = -25x + 25x + -33x2 + 33x2

Combine like terms: -25x + 25x = 0
10 + 29x + 21x2 = 0 + -33x2 + 33x2
10 + 29x + 21x2 = -33x2 + 33x2

Combine like terms: -33x2 + 33x2 = 0
10 + 29x + 21x2 = 0

Factor a trinomial.
(5 + 7x)(2 + 3x) = 0


Subproblem 1
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

Solving
5 + 7x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 0 + -5
7x = 0 + -5

Combine like terms: 0 + -5 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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 = {-0.7142857143, -0.6666666667}

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