(5x-3)(x+1)(x-1)=(5x+1)(5x-1)x

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


Simplifying
(5x + -3)(x + 1)(x + -1) = (5x + 1)(5x + -1) * x

Reorder the terms:
(-3 + 5x)(x + 1)(x + -1) = (5x + 1)(5x + -1) * x

Reorder the terms:
(-3 + 5x)(1 + x)(x + -1) = (5x + 1)(5x + -1) * x

Reorder the terms:
(-3 + 5x)(1 + x)(-1 + x) = (5x + 1)(5x + -1) * x

Multiply (-3 + 5x) * (1 + x)
(-3(1 + x) + 5x * (1 + x))(-1 + x) = (5x + 1)(5x + -1) * x
((1 * -3 + x * -3) + 5x * (1 + x))(-1 + x) = (5x + 1)(5x + -1) * x
((-3 + -3x) + 5x * (1 + x))(-1 + x) = (5x + 1)(5x + -1) * x
(-3 + -3x + (1 * 5x + x * 5x))(-1 + x) = (5x + 1)(5x + -1) * x
(-3 + -3x + (5x + 5x2))(-1 + x) = (5x + 1)(5x + -1) * x

Combine like terms: -3x + 5x = 2x
(-3 + 2x + 5x2)(-1 + x) = (5x + 1)(5x + -1) * x

Multiply (-3 + 2x + 5x2) * (-1 + x)
(-3(-1 + x) + 2x * (-1 + x) + 5x2 * (-1 + x)) = (5x + 1)(5x + -1) * x
((-1 * -3 + x * -3) + 2x * (-1 + x) + 5x2 * (-1 + x)) = (5x + 1)(5x + -1) * x
((3 + -3x) + 2x * (-1 + x) + 5x2 * (-1 + x)) = (5x + 1)(5x + -1) * x
(3 + -3x + (-1 * 2x + x * 2x) + 5x2 * (-1 + x)) = (5x + 1)(5x + -1) * x
(3 + -3x + (-2x + 2x2) + 5x2 * (-1 + x)) = (5x + 1)(5x + -1) * x
(3 + -3x + -2x + 2x2 + (-1 * 5x2 + x * 5x2)) = (5x + 1)(5x + -1) * x
(3 + -3x + -2x + 2x2 + (-5x2 + 5x3)) = (5x + 1)(5x + -1) * x

Combine like terms: -3x + -2x = -5x
(3 + -5x + 2x2 + -5x2 + 5x3) = (5x + 1)(5x + -1) * x

Combine like terms: 2x2 + -5x2 = -3x2
(3 + -5x + -3x2 + 5x3) = (5x + 1)(5x + -1) * x

Reorder the terms:
3 + -5x + -3x2 + 5x3 = (1 + 5x)(5x + -1) * x

Reorder the terms:
3 + -5x + -3x2 + 5x3 = (1 + 5x)(-1 + 5x) * x

Reorder the terms for easier multiplication:
3 + -5x + -3x2 + 5x3 = x(1 + 5x)(-1 + 5x)

Multiply (1 + 5x) * (-1 + 5x)
3 + -5x + -3x2 + 5x3 = x(1(-1 + 5x) + 5x * (-1 + 5x))
3 + -5x + -3x2 + 5x3 = x((-1 * 1 + 5x * 1) + 5x * (-1 + 5x))
3 + -5x + -3x2 + 5x3 = x((-1 + 5x) + 5x * (-1 + 5x))
3 + -5x + -3x2 + 5x3 = x(-1 + 5x + (-1 * 5x + 5x * 5x))
3 + -5x + -3x2 + 5x3 = x(-1 + 5x + (-5x + 25x2))

Combine like terms: 5x + -5x = 0
3 + -5x + -3x2 + 5x3 = x(-1 + 0 + 25x2)
3 + -5x + -3x2 + 5x3 = x(-1 + 25x2)
3 + -5x + -3x2 + 5x3 = (-1 * x + 25x2 * x)
3 + -5x + -3x2 + 5x3 = (-1x + 25x3)

Solving
3 + -5x + -3x2 + 5x3 = -1x + 25x3

Solving for variable 'x'.

Reorder the terms:
3 + -5x + x + -3x2 + 5x3 + -25x3 = -1x + 25x3 + x + -25x3

Combine like terms: -5x + x = -4x
3 + -4x + -3x2 + 5x3 + -25x3 = -1x + 25x3 + x + -25x3

Combine like terms: 5x3 + -25x3 = -20x3
3 + -4x + -3x2 + -20x3 = -1x + 25x3 + x + -25x3

Reorder the terms:
3 + -4x + -3x2 + -20x3 = -1x + x + 25x3 + -25x3

Combine like terms: -1x + x = 0
3 + -4x + -3x2 + -20x3 = 0 + 25x3 + -25x3
3 + -4x + -3x2 + -20x3 = 25x3 + -25x3

Combine like terms: 25x3 + -25x3 = 0
3 + -4x + -3x2 + -20x3 = 0

The solution to this equation could not be determined.

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