y=(x^2-8x+12)(x+1)

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Solution for y=(x^2-8x+12)(x+1) equation: 


Simplifying
y = (x2 + -8x + 12)(x + 1)

Reorder the terms:
y = (12 + -8x + x2)(x + 1)

Reorder the terms:
y = (12 + -8x + x2)(1 + x)

Multiply (12 + -8x + x2) * (1 + x)
y = (12(1 + x) + -8x * (1 + x) + x2(1 + x))
y = ((1 * 12 + x * 12) + -8x * (1 + x) + x2(1 + x))
y = ((12 + 12x) + -8x * (1 + x) + x2(1 + x))
y = (12 + 12x + (1 * -8x + x * -8x) + x2(1 + x))
y = (12 + 12x + (-8x + -8x2) + x2(1 + x))
y = (12 + 12x + -8x + -8x2 + (1 * x2 + x * x2))
y = (12 + 12x + -8x + -8x2 + (1x2 + x3))

Combine like terms: 12x + -8x = 4x
y = (12 + 4x + -8x2 + 1x2 + x3)

Combine like terms: -8x2 + 1x2 = -7x2
y = (12 + 4x + -7x2 + x3)

Solving
y = 12 + 4x + -7x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 12 + 4x + -7x2 + x3

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