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

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


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

Reorder the terms:
2x(-2 + 3x) + -1(3x + -2) = 2x(3x + 2)(3x + 2)
(-2 * 2x + 3x * 2x) + -1(3x + -2) = 2x(3x + 2)(3x + 2)
(-4x + 6x2) + -1(3x + -2) = 2x(3x + 2)(3x + 2)

Reorder the terms:
-4x + 6x2 + -1(-2 + 3x) = 2x(3x + 2)(3x + 2)
-4x + 6x2 + (-2 * -1 + 3x * -1) = 2x(3x + 2)(3x + 2)
-4x + 6x2 + (2 + -3x) = 2x(3x + 2)(3x + 2)

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

Combine like terms: -4x + -3x = -7x
2 + -7x + 6x2 = 2x(3x + 2)(3x + 2)

Reorder the terms:
2 + -7x + 6x2 = 2x(2 + 3x)(3x + 2)

Reorder the terms:
2 + -7x + 6x2 = 2x(2 + 3x)(2 + 3x)

Multiply (2 + 3x) * (2 + 3x)
2 + -7x + 6x2 = 2x(2(2 + 3x) + 3x * (2 + 3x))
2 + -7x + 6x2 = 2x((2 * 2 + 3x * 2) + 3x * (2 + 3x))
2 + -7x + 6x2 = 2x((4 + 6x) + 3x * (2 + 3x))
2 + -7x + 6x2 = 2x(4 + 6x + (2 * 3x + 3x * 3x))
2 + -7x + 6x2 = 2x(4 + 6x + (6x + 9x2))

Combine like terms: 6x + 6x = 12x
2 + -7x + 6x2 = 2x(4 + 12x + 9x2)
2 + -7x + 6x2 = (4 * 2x + 12x * 2x + 9x2 * 2x)
2 + -7x + 6x2 = (8x + 24x2 + 18x3)

Solving
2 + -7x + 6x2 = 8x + 24x2 + 18x3

Solving for variable 'x'.

Reorder the terms:
2 + -7x + -8x + 6x2 + -24x2 + -18x3 = 8x + 24x2 + 18x3 + -8x + -24x2 + -18x3

Combine like terms: -7x + -8x = -15x
2 + -15x + 6x2 + -24x2 + -18x3 = 8x + 24x2 + 18x3 + -8x + -24x2 + -18x3

Combine like terms: 6x2 + -24x2 = -18x2
2 + -15x + -18x2 + -18x3 = 8x + 24x2 + 18x3 + -8x + -24x2 + -18x3

Reorder the terms:
2 + -15x + -18x2 + -18x3 = 8x + -8x + 24x2 + -24x2 + 18x3 + -18x3

Combine like terms: 8x + -8x = 0
2 + -15x + -18x2 + -18x3 = 0 + 24x2 + -24x2 + 18x3 + -18x3
2 + -15x + -18x2 + -18x3 = 24x2 + -24x2 + 18x3 + -18x3

Combine like terms: 24x2 + -24x2 = 0
2 + -15x + -18x2 + -18x3 = 0 + 18x3 + -18x3
2 + -15x + -18x2 + -18x3 = 18x3 + -18x3

Combine like terms: 18x3 + -18x3 = 0
2 + -15x + -18x2 + -18x3 = 0

The solution to this equation could not be determined.

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