y=(x-4)(x^4-10x^3+46x^2-120x+200)

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Solution for y=(x-4)(x^4-10x^3+46x^2-120x+200) equation:


Simplifying
y = (x + -4)(x4 + -10x3 + 46x2 + -120x + 200)

Reorder the terms:
y = (-4 + x)(x4 + -10x3 + 46x2 + -120x + 200)

Reorder the terms:
y = (-4 + x)(200 + -120x + 46x2 + -10x3 + x4)

Multiply (-4 + x) * (200 + -120x + 46x2 + -10x3 + x4)
y = (-4(200 + -120x + 46x2 + -10x3 + x4) + x(200 + -120x + 46x2 + -10x3 + x4))
y = ((200 * -4 + -120x * -4 + 46x2 * -4 + -10x3 * -4 + x4 * -4) + x(200 + -120x + 46x2 + -10x3 + x4))
y = ((-800 + 480x + -184x2 + 40x3 + -4x4) + x(200 + -120x + 46x2 + -10x3 + x4))
y = (-800 + 480x + -184x2 + 40x3 + -4x4 + (200 * x + -120x * x + 46x2 * x + -10x3 * x + x4 * x))
y = (-800 + 480x + -184x2 + 40x3 + -4x4 + (200x + -120x2 + 46x3 + -10x4 + x5))

Reorder the terms:
y = (-800 + 480x + 200x + -184x2 + -120x2 + 40x3 + 46x3 + -4x4 + -10x4 + x5)

Combine like terms: 480x + 200x = 680x
y = (-800 + 680x + -184x2 + -120x2 + 40x3 + 46x3 + -4x4 + -10x4 + x5)

Combine like terms: -184x2 + -120x2 = -304x2
y = (-800 + 680x + -304x2 + 40x3 + 46x3 + -4x4 + -10x4 + x5)

Combine like terms: 40x3 + 46x3 = 86x3
y = (-800 + 680x + -304x2 + 86x3 + -4x4 + -10x4 + x5)

Combine like terms: -4x4 + -10x4 = -14x4
y = (-800 + 680x + -304x2 + 86x3 + -14x4 + x5)

Solving
y = -800 + 680x + -304x2 + 86x3 + -14x4 + x5

Solving for variable 'y'.

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

Simplifying
y = -800 + 680x + -304x2 + 86x3 + -14x4 + x5

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