(2x+2)(3x-1)=(3x-4)(5x-8)(4x-4)

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Solution for (2x+2)(3x-1)=(3x-4)(5x-8)(4x-4) equation: 


Simplifying
(2x + 2)(3x + -1) = (3x + -4)(5x + -8)(4x + -4)

Reorder the terms:
(2 + 2x)(3x + -1) = (3x + -4)(5x + -8)(4x + -4)

Reorder the terms:
(2 + 2x)(-1 + 3x) = (3x + -4)(5x + -8)(4x + -4)

Multiply (2 + 2x) * (-1 + 3x)
(2(-1 + 3x) + 2x * (-1 + 3x)) = (3x + -4)(5x + -8)(4x + -4)
((-1 * 2 + 3x * 2) + 2x * (-1 + 3x)) = (3x + -4)(5x + -8)(4x + -4)
((-2 + 6x) + 2x * (-1 + 3x)) = (3x + -4)(5x + -8)(4x + -4)
(-2 + 6x + (-1 * 2x + 3x * 2x)) = (3x + -4)(5x + -8)(4x + -4)
(-2 + 6x + (-2x + 6x2)) = (3x + -4)(5x + -8)(4x + -4)

Combine like terms: 6x + -2x = 4x
(-2 + 4x + 6x2) = (3x + -4)(5x + -8)(4x + -4)

Reorder the terms:
-2 + 4x + 6x2 = (-4 + 3x)(5x + -8)(4x + -4)

Reorder the terms:
-2 + 4x + 6x2 = (-4 + 3x)(-8 + 5x)(4x + -4)

Reorder the terms:
-2 + 4x + 6x2 = (-4 + 3x)(-8 + 5x)(-4 + 4x)

Multiply (-4 + 3x) * (-8 + 5x)
-2 + 4x + 6x2 = (-4(-8 + 5x) + 3x * (-8 + 5x))(-4 + 4x)
-2 + 4x + 6x2 = ((-8 * -4 + 5x * -4) + 3x * (-8 + 5x))(-4 + 4x)
-2 + 4x + 6x2 = ((32 + -20x) + 3x * (-8 + 5x))(-4 + 4x)
-2 + 4x + 6x2 = (32 + -20x + (-8 * 3x + 5x * 3x))(-4 + 4x)
-2 + 4x + 6x2 = (32 + -20x + (-24x + 15x2))(-4 + 4x)

Combine like terms: -20x + -24x = -44x
-2 + 4x + 6x2 = (32 + -44x + 15x2)(-4 + 4x)

Multiply (32 + -44x + 15x2) * (-4 + 4x)
-2 + 4x + 6x2 = (32(-4 + 4x) + -44x * (-4 + 4x) + 15x2 * (-4 + 4x))
-2 + 4x + 6x2 = ((-4 * 32 + 4x * 32) + -44x * (-4 + 4x) + 15x2 * (-4 + 4x))
-2 + 4x + 6x2 = ((-128 + 128x) + -44x * (-4 + 4x) + 15x2 * (-4 + 4x))
-2 + 4x + 6x2 = (-128 + 128x + (-4 * -44x + 4x * -44x) + 15x2 * (-4 + 4x))
-2 + 4x + 6x2 = (-128 + 128x + (176x + -176x2) + 15x2 * (-4 + 4x))
-2 + 4x + 6x2 = (-128 + 128x + 176x + -176x2 + (-4 * 15x2 + 4x * 15x2))
-2 + 4x + 6x2 = (-128 + 128x + 176x + -176x2 + (-60x2 + 60x3))

Combine like terms: 128x + 176x = 304x
-2 + 4x + 6x2 = (-128 + 304x + -176x2 + -60x2 + 60x3)

Combine like terms: -176x2 + -60x2 = -236x2
-2 + 4x + 6x2 = (-128 + 304x + -236x2 + 60x3)

Solving
-2 + 4x + 6x2 = -128 + 304x + -236x2 + 60x3

Solving for variable 'x'.

Reorder the terms:
-2 + 128 + 4x + -304x + 6x2 + 236x2 + -60x3 = -128 + 304x + -236x2 + 60x3 + 128 + -304x + 236x2 + -60x3

Combine like terms: -2 + 128 = 126
126 + 4x + -304x + 6x2 + 236x2 + -60x3 = -128 + 304x + -236x2 + 60x3 + 128 + -304x + 236x2 + -60x3

Combine like terms: 4x + -304x = -300x
126 + -300x + 6x2 + 236x2 + -60x3 = -128 + 304x + -236x2 + 60x3 + 128 + -304x + 236x2 + -60x3

Combine like terms: 6x2 + 236x2 = 242x2
126 + -300x + 242x2 + -60x3 = -128 + 304x + -236x2 + 60x3 + 128 + -304x + 236x2 + -60x3

Reorder the terms:
126 + -300x + 242x2 + -60x3 = -128 + 128 + 304x + -304x + -236x2 + 236x2 + 60x3 + -60x3

Combine like terms: -128 + 128 = 0
126 + -300x + 242x2 + -60x3 = 0 + 304x + -304x + -236x2 + 236x2 + 60x3 + -60x3
126 + -300x + 242x2 + -60x3 = 304x + -304x + -236x2 + 236x2 + 60x3 + -60x3

Combine like terms: 304x + -304x = 0
126 + -300x + 242x2 + -60x3 = 0 + -236x2 + 236x2 + 60x3 + -60x3
126 + -300x + 242x2 + -60x3 = -236x2 + 236x2 + 60x3 + -60x3

Combine like terms: -236x2 + 236x2 = 0
126 + -300x + 242x2 + -60x3 = 0 + 60x3 + -60x3
126 + -300x + 242x2 + -60x3 = 60x3 + -60x3

Combine like terms: 60x3 + -60x3 = 0
126 + -300x + 242x2 + -60x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -150x + 121x2 + -30x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(63 + -150x + 121x2 + -30x3)' equal to zero and attempt to solve:

Simplifying
63 + -150x + 121x2 + -30x3 = 0

Solving
63 + -150x + 121x2 + -30x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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