y=(x-1)(x-3)(x-5)

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


Simplifying
y = (x + -1)(x + -3)(x + -5)

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

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

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

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

Combine like terms: -1x + -3x = -4x
y = (3 + -4x + x2)(-5 + x)

Multiply (3 + -4x + x2) * (-5 + x)
y = (3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))
y = ((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))
y = ((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))
y = (-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))
y = (-15 + 3x + (20x + -4x2) + x2(-5 + x))
y = (-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))
y = (-15 + 3x + 20x + -4x2 + (-5x2 + x3))

Combine like terms: 3x + 20x = 23x
y = (-15 + 23x + -4x2 + -5x2 + x3)

Combine like terms: -4x2 + -5x2 = -9x2
y = (-15 + 23x + -9x2 + x3)

Solving
y = -15 + 23x + -9x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -15 + 23x + -9x2 + x3

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