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

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


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

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

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

Multiply (-4 + 3x) * (-3d + 2x)
(-4(-3d + 2x) + 3x * (-3d + 2x)) = (2x + -3d)(2x + -4d)
((-3d * -4 + 2x * -4) + 3x * (-3d + 2x)) = (2x + -3d)(2x + -4d)
((12d + -8x) + 3x * (-3d + 2x)) = (2x + -3d)(2x + -4d)
(12d + -8x + (-3d * 3x + 2x * 3x)) = (2x + -3d)(2x + -4d)
(12d + -8x + (-9dx + 6x2)) = (2x + -3d)(2x + -4d)

Reorder the terms:
(12d + -9dx + -8x + 6x2) = (2x + -3d)(2x + -4d)
(12d + -9dx + -8x + 6x2) = (2x + -3d)(2x + -4d)

Reorder the terms:
12d + -9dx + -8x + 6x2 = (-3d + 2x)(2x + -4d)

Reorder the terms:
12d + -9dx + -8x + 6x2 = (-3d + 2x)(-4d + 2x)

Multiply (-3d + 2x) * (-4d + 2x)
12d + -9dx + -8x + 6x2 = (-3d * (-4d + 2x) + 2x * (-4d + 2x))
12d + -9dx + -8x + 6x2 = ((-4d * -3d + 2x * -3d) + 2x * (-4d + 2x))

Reorder the terms:
12d + -9dx + -8x + 6x2 = ((-6dx + 12d2) + 2x * (-4d + 2x))
12d + -9dx + -8x + 6x2 = ((-6dx + 12d2) + 2x * (-4d + 2x))
12d + -9dx + -8x + 6x2 = (-6dx + 12d2 + (-4d * 2x + 2x * 2x))
12d + -9dx + -8x + 6x2 = (-6dx + 12d2 + (-8dx + 4x2))

Reorder the terms:
12d + -9dx + -8x + 6x2 = (-6dx + -8dx + 12d2 + 4x2)

Combine like terms: -6dx + -8dx = -14dx
12d + -9dx + -8x + 6x2 = (-14dx + 12d2 + 4x2)

Solving
12d + -9dx + -8x + 6x2 = -14dx + 12d2 + 4x2

Solving for variable 'd'.

Reorder the terms:
12d + -9dx + 14dx + -12d2 + -8x + 6x2 + -4x2 = -14dx + 12d2 + 4x2 + 14dx + -12d2 + -4x2

Combine like terms: -9dx + 14dx = 5dx
12d + 5dx + -12d2 + -8x + 6x2 + -4x2 = -14dx + 12d2 + 4x2 + 14dx + -12d2 + -4x2

Combine like terms: 6x2 + -4x2 = 2x2
12d + 5dx + -12d2 + -8x + 2x2 = -14dx + 12d2 + 4x2 + 14dx + -12d2 + -4x2

Reorder the terms:
12d + 5dx + -12d2 + -8x + 2x2 = -14dx + 14dx + 12d2 + -12d2 + 4x2 + -4x2

Combine like terms: -14dx + 14dx = 0
12d + 5dx + -12d2 + -8x + 2x2 = 0 + 12d2 + -12d2 + 4x2 + -4x2
12d + 5dx + -12d2 + -8x + 2x2 = 12d2 + -12d2 + 4x2 + -4x2

Combine like terms: 12d2 + -12d2 = 0
12d + 5dx + -12d2 + -8x + 2x2 = 0 + 4x2 + -4x2
12d + 5dx + -12d2 + -8x + 2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
12d + 5dx + -12d2 + -8x + 2x2 = 0

The solution to this equation could not be determined.

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