y=(x+5)(x-1)(x-2)

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Solution for y=(x+5)(x-1)(x-2) equation:


Simplifying
y = (x + 5)(x + -1)(x + -2)

Reorder the terms:
y = (5 + x)(x + -1)(x + -2)

Reorder the terms:
y = (5 + x)(-1 + x)(x + -2)

Reorder the terms:
y = (5 + x)(-1 + x)(-2 + x)

Multiply (5 + x) * (-1 + x)
y = (5(-1 + x) + x(-1 + x))(-2 + x)
y = ((-1 * 5 + x * 5) + x(-1 + x))(-2 + x)
y = ((-5 + 5x) + x(-1 + x))(-2 + x)
y = (-5 + 5x + (-1 * x + x * x))(-2 + x)
y = (-5 + 5x + (-1x + x2))(-2 + x)

Combine like terms: 5x + -1x = 4x
y = (-5 + 4x + x2)(-2 + x)

Multiply (-5 + 4x + x2) * (-2 + x)
y = (-5(-2 + x) + 4x * (-2 + x) + x2(-2 + x))
y = ((-2 * -5 + x * -5) + 4x * (-2 + x) + x2(-2 + x))
y = ((10 + -5x) + 4x * (-2 + x) + x2(-2 + x))
y = (10 + -5x + (-2 * 4x + x * 4x) + x2(-2 + x))
y = (10 + -5x + (-8x + 4x2) + x2(-2 + x))
y = (10 + -5x + -8x + 4x2 + (-2 * x2 + x * x2))
y = (10 + -5x + -8x + 4x2 + (-2x2 + x3))

Combine like terms: -5x + -8x = -13x
y = (10 + -13x + 4x2 + -2x2 + x3)

Combine like terms: 4x2 + -2x2 = 2x2
y = (10 + -13x + 2x2 + x3)

Solving
y = 10 + -13x + 2x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 10 + -13x + 2x2 + x3

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