y=(x^3-6x^2-x+6)(x^2-2x+5)

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Solution for y=(x^3-6x^2-x+6)(x^2-2x+5) equation:


Simplifying
y = (x3 + -6x2 + -1x + 6)(x2 + -2x + 5)

Reorder the terms:
y = (6 + -1x + -6x2 + x3)(x2 + -2x + 5)

Reorder the terms:
y = (6 + -1x + -6x2 + x3)(5 + -2x + x2)

Multiply (6 + -1x + -6x2 + x3) * (5 + -2x + x2)
y = (6(5 + -2x + x2) + -1x * (5 + -2x + x2) + -6x2 * (5 + -2x + x2) + x3(5 + -2x + x2))
y = ((5 * 6 + -2x * 6 + x2 * 6) + -1x * (5 + -2x + x2) + -6x2 * (5 + -2x + x2) + x3(5 + -2x + x2))
y = ((30 + -12x + 6x2) + -1x * (5 + -2x + x2) + -6x2 * (5 + -2x + x2) + x3(5 + -2x + x2))
y = (30 + -12x + 6x2 + (5 * -1x + -2x * -1x + x2 * -1x) + -6x2 * (5 + -2x + x2) + x3(5 + -2x + x2))
y = (30 + -12x + 6x2 + (-5x + 2x2 + -1x3) + -6x2 * (5 + -2x + x2) + x3(5 + -2x + x2))
y = (30 + -12x + 6x2 + -5x + 2x2 + -1x3 + (5 * -6x2 + -2x * -6x2 + x2 * -6x2) + x3(5 + -2x + x2))
y = (30 + -12x + 6x2 + -5x + 2x2 + -1x3 + (-30x2 + 12x3 + -6x4) + x3(5 + -2x + x2))
y = (30 + -12x + 6x2 + -5x + 2x2 + -1x3 + -30x2 + 12x3 + -6x4 + (5 * x3 + -2x * x3 + x2 * x3))
y = (30 + -12x + 6x2 + -5x + 2x2 + -1x3 + -30x2 + 12x3 + -6x4 + (5x3 + -2x4 + x5))

Reorder the terms:
y = (30 + -12x + -5x + 6x2 + 2x2 + -30x2 + -1x3 + 12x3 + 5x3 + -6x4 + -2x4 + x5)

Combine like terms: -12x + -5x = -17x
y = (30 + -17x + 6x2 + 2x2 + -30x2 + -1x3 + 12x3 + 5x3 + -6x4 + -2x4 + x5)

Combine like terms: 6x2 + 2x2 = 8x2
y = (30 + -17x + 8x2 + -30x2 + -1x3 + 12x3 + 5x3 + -6x4 + -2x4 + x5)

Combine like terms: 8x2 + -30x2 = -22x2
y = (30 + -17x + -22x2 + -1x3 + 12x3 + 5x3 + -6x4 + -2x4 + x5)

Combine like terms: -1x3 + 12x3 = 11x3
y = (30 + -17x + -22x2 + 11x3 + 5x3 + -6x4 + -2x4 + x5)

Combine like terms: 11x3 + 5x3 = 16x3
y = (30 + -17x + -22x2 + 16x3 + -6x4 + -2x4 + x5)

Combine like terms: -6x4 + -2x4 = -8x4
y = (30 + -17x + -22x2 + 16x3 + -8x4 + x5)

Solving
y = 30 + -17x + -22x2 + 16x3 + -8x4 + x5

Solving for variable 'y'.

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

Simplifying
y = 30 + -17x + -22x2 + 16x3 + -8x4 + x5

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