y=(x-4)(x^4-6x^3+42x^2-78x+145)

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Solution for y=(x-4)(x^4-6x^3+42x^2-78x+145) equation: 


Simplifying
y = (x + -4)(x4 + -6x3 + 42x2 + -78x + 145)

Reorder the terms:
y = (-4 + x)(x4 + -6x3 + 42x2 + -78x + 145)

Reorder the terms:
y = (-4 + x)(145 + -78x + 42x2 + -6x3 + x4)

Multiply (-4 + x) * (145 + -78x + 42x2 + -6x3 + x4)
y = (-4(145 + -78x + 42x2 + -6x3 + x4) + x(145 + -78x + 42x2 + -6x3 + x4))
y = ((145 * -4 + -78x * -4 + 42x2 * -4 + -6x3 * -4 + x4 * -4) + x(145 + -78x + 42x2 + -6x3 + x4))
y = ((-580 + 312x + -168x2 + 24x3 + -4x4) + x(145 + -78x + 42x2 + -6x3 + x4))
y = (-580 + 312x + -168x2 + 24x3 + -4x4 + (145 * x + -78x * x + 42x2 * x + -6x3 * x + x4 * x))
y = (-580 + 312x + -168x2 + 24x3 + -4x4 + (145x + -78x2 + 42x3 + -6x4 + x5))

Reorder the terms:
y = (-580 + 312x + 145x + -168x2 + -78x2 + 24x3 + 42x3 + -4x4 + -6x4 + x5)

Combine like terms: 312x + 145x = 457x
y = (-580 + 457x + -168x2 + -78x2 + 24x3 + 42x3 + -4x4 + -6x4 + x5)

Combine like terms: -168x2 + -78x2 = -246x2
y = (-580 + 457x + -246x2 + 24x3 + 42x3 + -4x4 + -6x4 + x5)

Combine like terms: 24x3 + 42x3 = 66x3
y = (-580 + 457x + -246x2 + 66x3 + -4x4 + -6x4 + x5)

Combine like terms: -4x4 + -6x4 = -10x4
y = (-580 + 457x + -246x2 + 66x3 + -10x4 + x5)

Solving
y = -580 + 457x + -246x2 + 66x3 + -10x4 + x5

Solving for variable 'y'.

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

Simplifying
y = -580 + 457x + -246x2 + 66x3 + -10x4 + x5

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