f(x)=-2x^3(x-1)(x+5)

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Solution for f(x)=-2x^3(x-1)(x+5) equation: 


Simplifying
f(x) = -2x3(x + -1)(x + 5)

Multiply f * x
fx = -2x3(x + -1)(x + 5)

Reorder the terms:
fx = -2x3(-1 + x)(x + 5)

Reorder the terms:
fx = -2x3(-1 + x)(5 + x)

Multiply (-1 + x) * (5 + x)
fx = -2x3(-1(5 + x) + x(5 + x))
fx = -2x3((5 * -1 + x * -1) + x(5 + x))
fx = -2x3((-5 + -1x) + x(5 + x))
fx = -2x3(-5 + -1x + (5 * x + x * x))
fx = -2x3(-5 + -1x + (5x + x2))

Combine like terms: -1x + 5x = 4x
fx = -2x3(-5 + 4x + x2)
fx = (-5 * -2x3 + 4x * -2x3 + x2 * -2x3)
fx = (10x3 + -8x4 + -2x5)

Solving
fx = 10x3 + -8x4 + -2x5

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 10x2 + -8x3 + -2x4

Simplifying
f = 10x2 + -8x3 + -2x4

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