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

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


Simplifying
f(x) = -1x2(x + -3)(x + 5)

Multiply f * x
fx = -1x2(x + -3)(x + 5)

Reorder the terms:
fx = -1x2(-3 + x)(x + 5)

Reorder the terms:
fx = -1x2(-3 + x)(5 + x)

Multiply (-3 + x) * (5 + x)
fx = -1x2(-3(5 + x) + x(5 + x))
fx = -1x2((5 * -3 + x * -3) + x(5 + x))
fx = -1x2((-15 + -3x) + x(5 + x))
fx = -1x2(-15 + -3x + (5 * x + x * x))
fx = -1x2(-15 + -3x + (5x + x2))

Combine like terms: -3x + 5x = 2x
fx = -1x2(-15 + 2x + x2)
fx = (-15 * -1x2 + 2x * -1x2 + x2 * -1x2)
fx = (15x2 + -2x3 + -1x4)

Solving
fx = 15x2 + -2x3 + -1x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 15x + -2x2 + -1x3

Simplifying
f = 15x + -2x2 + -1x3

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