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

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


Simplifying
y = (x + -1)(x + 1)(x + -5)

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

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

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

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

Combine like terms: -1x + 1x = 0
y = (-1 + 0 + x2)(-5 + x)
y = (-1 + x2)(-5 + x)

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

Solving
y = 5 + -1x + -5x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 5 + -1x + -5x2 + x3

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