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

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


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

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

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

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

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

Combine like terms: -4x + 1x = -3x
fx = x2(-4 + -3x + x2)
fx = (-4 * x2 + -3x * x2 + x2 * x2)
fx = (-4x2 + -3x3 + x4)

Solving
fx = -4x2 + -3x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -4x + -3x2 + x3

Simplifying
f = -4x + -3x2 + x3

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