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

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


Simplifying
X(3x + -1)(x + 1) + -1(5x + -1)(x + -1) = 0

Reorder the terms:
X(-1 + 3x)(x + 1) + -1(5x + -1)(x + -1) = 0

Reorder the terms:
X(-1 + 3x)(1 + x) + -1(5x + -1)(x + -1) = 0

Multiply (-1 + 3x) * (1 + x)
X(-1(1 + x) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0
X((1 * -1 + x * -1) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0
X((-1 + -1x) + 3x * (1 + x)) + -1(5x + -1)(x + -1) = 0
X(-1 + -1x + (1 * 3x + x * 3x)) + -1(5x + -1)(x + -1) = 0
X(-1 + -1x + (3x + 3x2)) + -1(5x + -1)(x + -1) = 0

Combine like terms: -1x + 3x = 2x
X(-1 + 2x + 3x2) + -1(5x + -1)(x + -1) = 0
(-1 * X + 2x * X + 3x2 * X) + -1(5x + -1)(x + -1) = 0
(-1X + 2xX + 3x2X) + -1(5x + -1)(x + -1) = 0

Reorder the terms:
-1X + 2xX + 3x2X + -1(-1 + 5x)(x + -1) = 0

Reorder the terms:
-1X + 2xX + 3x2X + -1(-1 + 5x)(-1 + x) = 0

Multiply (-1 + 5x) * (-1 + x)
-1X + 2xX + 3x2X + -1(-1(-1 + x) + 5x * (-1 + x)) = 0
-1X + 2xX + 3x2X + -1((-1 * -1 + x * -1) + 5x * (-1 + x)) = 0
-1X + 2xX + 3x2X + -1((1 + -1x) + 5x * (-1 + x)) = 0
-1X + 2xX + 3x2X + -1(1 + -1x + (-1 * 5x + x * 5x)) = 0
-1X + 2xX + 3x2X + -1(1 + -1x + (-5x + 5x2)) = 0

Combine like terms: -1x + -5x = -6x
-1X + 2xX + 3x2X + -1(1 + -6x + 5x2) = 0
-1X + 2xX + 3x2X + (1 * -1 + -6x * -1 + 5x2 * -1) = 0
-1X + 2xX + 3x2X + (-1 + 6x + -5x2) = 0

Reorder the terms:
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0

Solving
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + -1X + 6x + 2xX + -5x2 + 1 + 3x2X = 0 + 1

Reorder the terms:
-1 + 1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1X + 6x + 2xX + -5x2 + 3x2X = 0 + 1
-1X + 6x + 2xX + -5x2 + 3x2X = 0 + 1

Combine like terms: 0 + 1 = 1
-1X + 6x + 2xX + -5x2 + 3x2X = 1

Add '-6x' to each side of the equation.
-1X + 6x + 2xX + -5x2 + -6x + 3x2X = 1 + -6x

Reorder the terms:
-1X + 6x + -6x + 2xX + -5x2 + 3x2X = 1 + -6x

Combine like terms: 6x + -6x = 0
-1X + 0 + 2xX + -5x2 + 3x2X = 1 + -6x
-1X + 2xX + -5x2 + 3x2X = 1 + -6x

Add '5x2' to each side of the equation.
-1X + 2xX + -5x2 + 5x2 + 3x2X = 1 + -6x + 5x2

Combine like terms: -5x2 + 5x2 = 0
-1X + 2xX + 0 + 3x2X = 1 + -6x + 5x2
-1X + 2xX + 3x2X = 1 + -6x + 5x2

Reorder the terms:
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 1 + -6x + 5x2 + -1 + 6x + -5x2

Reorder the terms:
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 1 + -1 + -6x + 6x + 5x2 + -5x2

Combine like terms: 1 + -1 = 0
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0 + -6x + 6x + 5x2 + -5x2
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = -6x + 6x + 5x2 + -5x2

Combine like terms: -6x + 6x = 0
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0 + 5x2 + -5x2
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-1 + -1X + 6x + 2xX + -5x2 + 3x2X = 0

The solution to this equation could not be determined.

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