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

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


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

Reorder the terms:
y = (1 + 2x)(x + 1)(x + -1)

Reorder the terms:
y = (1 + 2x)(1 + x)(x + -1)

Reorder the terms:
y = (1 + 2x)(1 + x)(-1 + x)

Multiply (1 + 2x) * (1 + x)
y = (1(1 + x) + 2x * (1 + x))(-1 + x)
y = ((1 * 1 + x * 1) + 2x * (1 + x))(-1 + x)
y = ((1 + 1x) + 2x * (1 + x))(-1 + x)
y = (1 + 1x + (1 * 2x + x * 2x))(-1 + x)
y = (1 + 1x + (2x + 2x2))(-1 + x)

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

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

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

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

Solving
y = -1 + -2x + 1x2 + 2x3

Solving for variable 'y'.

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

Simplifying
y = -1 + -2x + 1x2 + 2x3

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