x(3x-1)(x+1)-(6x-1)(x-1)=0

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Solution for x(3x-1)(x+1)-(6x-1)(x-1)=0 equation: 


Simplifying
x(3x + -1)(x + 1) + -1(6x + -1)(x + -1) = 0

Reorder the terms:
x(-1 + 3x)(x + 1) + -1(6x + -1)(x + -1) = 0

Reorder the terms:
x(-1 + 3x)(1 + x) + -1(6x + -1)(x + -1) = 0

Multiply (-1 + 3x) * (1 + x)
x(-1(1 + x) + 3x * (1 + x)) + -1(6x + -1)(x + -1) = 0
x((1 * -1 + x * -1) + 3x * (1 + x)) + -1(6x + -1)(x + -1) = 0
x((-1 + -1x) + 3x * (1 + x)) + -1(6x + -1)(x + -1) = 0
x(-1 + -1x + (1 * 3x + x * 3x)) + -1(6x + -1)(x + -1) = 0
x(-1 + -1x + (3x + 3x2)) + -1(6x + -1)(x + -1) = 0

Combine like terms: -1x + 3x = 2x
x(-1 + 2x + 3x2) + -1(6x + -1)(x + -1) = 0
(-1 * x + 2x * x + 3x2 * x) + -1(6x + -1)(x + -1) = 0
(-1x + 2x2 + 3x3) + -1(6x + -1)(x + -1) = 0

Reorder the terms:
-1x + 2x2 + 3x3 + -1(-1 + 6x)(x + -1) = 0

Reorder the terms:
-1x + 2x2 + 3x3 + -1(-1 + 6x)(-1 + x) = 0

Multiply (-1 + 6x) * (-1 + x)
-1x + 2x2 + 3x3 + -1(-1(-1 + x) + 6x * (-1 + x)) = 0
-1x + 2x2 + 3x3 + -1((-1 * -1 + x * -1) + 6x * (-1 + x)) = 0
-1x + 2x2 + 3x3 + -1((1 + -1x) + 6x * (-1 + x)) = 0
-1x + 2x2 + 3x3 + -1(1 + -1x + (-1 * 6x + x * 6x)) = 0
-1x + 2x2 + 3x3 + -1(1 + -1x + (-6x + 6x2)) = 0

Combine like terms: -1x + -6x = -7x
-1x + 2x2 + 3x3 + -1(1 + -7x + 6x2) = 0
-1x + 2x2 + 3x3 + (1 * -1 + -7x * -1 + 6x2 * -1) = 0
-1x + 2x2 + 3x3 + (-1 + 7x + -6x2) = 0

Reorder the terms:
-1 + -1x + 7x + 2x2 + -6x2 + 3x3 = 0

Combine like terms: -1x + 7x = 6x
-1 + 6x + 2x2 + -6x2 + 3x3 = 0

Combine like terms: 2x2 + -6x2 = -4x2
-1 + 6x + -4x2 + 3x3 = 0

Solving
-1 + 6x + -4x2 + 3x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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