y=(x+1)(x-2)(x-4)

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Solution for y=(x+1)(x-2)(x-4) equation:


Simplifying
y = (x + 1)(x + -2)(x + -4)

Reorder the terms:
y = (1 + x)(x + -2)(x + -4)

Reorder the terms:
y = (1 + x)(-2 + x)(x + -4)

Reorder the terms:
y = (1 + x)(-2 + x)(-4 + x)

Multiply (1 + x) * (-2 + x)
y = (1(-2 + x) + x(-2 + x))(-4 + x)
y = ((-2 * 1 + x * 1) + x(-2 + x))(-4 + x)
y = ((-2 + 1x) + x(-2 + x))(-4 + x)
y = (-2 + 1x + (-2 * x + x * x))(-4 + x)
y = (-2 + 1x + (-2x + x2))(-4 + x)

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

Multiply (-2 + -1x + x2) * (-4 + x)
y = (-2(-4 + x) + -1x * (-4 + x) + x2(-4 + x))
y = ((-4 * -2 + x * -2) + -1x * (-4 + x) + x2(-4 + x))
y = ((8 + -2x) + -1x * (-4 + x) + x2(-4 + x))
y = (8 + -2x + (-4 * -1x + x * -1x) + x2(-4 + x))
y = (8 + -2x + (4x + -1x2) + x2(-4 + x))
y = (8 + -2x + 4x + -1x2 + (-4 * x2 + x * x2))
y = (8 + -2x + 4x + -1x2 + (-4x2 + x3))

Combine like terms: -2x + 4x = 2x
y = (8 + 2x + -1x2 + -4x2 + x3)

Combine like terms: -1x2 + -4x2 = -5x2
y = (8 + 2x + -5x2 + x3)

Solving
y = 8 + 2x + -5x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 8 + 2x + -5x2 + x3

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