f(x)=-5(x-1)(x^2+4)

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Solution for f(x)=-5(x-1)(x^2+4) equation: 


Simplifying
f(x) = -5(x + -1)(x2 + 4)

Multiply f * x
fx = -5(x + -1)(x2 + 4)

Reorder the terms:
fx = -5(-1 + x)(x2 + 4)

Reorder the terms:
fx = -5(-1 + x)(4 + x2)

Multiply (-1 + x) * (4 + x2)
fx = -5(-1(4 + x2) + x(4 + x2))
fx = -5((4 * -1 + x2 * -1) + x(4 + x2))
fx = -5((-4 + -1x2) + x(4 + x2))
fx = -5(-4 + -1x2 + (4 * x + x2 * x))
fx = -5(-4 + -1x2 + (4x + x3))

Reorder the terms:
fx = -5(-4 + 4x + -1x2 + x3)
fx = -5(-4 + 4x + -1x2 + x3)
fx = (-4 * -5 + 4x * -5 + -1x2 * -5 + x3 * -5)
fx = (20 + -20x + 5x2 + -5x3)

Solving
fx = 20 + -20x + 5x2 + -5x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 20x-1 + -20 + 5x + -5x2

Simplifying
f = 20x-1 + -20 + 5x + -5x2

Reorder the terms:
f = -20 + 20x-1 + 5x + -5x2

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