y=(x-1)(x-2)(x-3)

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Solution for y=(x-1)(x-2)(x-3) equation: 


Simplifying
y = (x + -1)(x + -2)(x + -3)

Reorder the terms:
y = (-1 + x)(x + -2)(x + -3)

Reorder the terms:
y = (-1 + x)(-2 + x)(x + -3)

Reorder the terms:
y = (-1 + x)(-2 + x)(-3 + x)

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

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

Multiply (2 + -3x + x2) * (-3 + x)
y = (2(-3 + x) + -3x * (-3 + x) + x2(-3 + x))
y = ((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x))
y = ((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x))
y = (-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x))
y = (-6 + 2x + (9x + -3x2) + x2(-3 + x))
y = (-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2))
y = (-6 + 2x + 9x + -3x2 + (-3x2 + x3))

Combine like terms: 2x + 9x = 11x
y = (-6 + 11x + -3x2 + -3x2 + x3)

Combine like terms: -3x2 + -3x2 = -6x2
y = (-6 + 11x + -6x2 + x3)

Solving
y = -6 + 11x + -6x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -6 + 11x + -6x2 + x3

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