f(x)=-3x(x^2-9)(x-6)

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Solution for f(x)=-3x(x^2-9)(x-6) equation: 


Simplifying
f(x) = -3x(x2 + -9)(x + -6)

Multiply f * x
fx = -3x(x2 + -9)(x + -6)

Reorder the terms:
fx = -3x(-9 + x2)(x + -6)

Reorder the terms:
fx = -3x(-9 + x2)(-6 + x)

Multiply (-9 + x2) * (-6 + x)
fx = -3x(-9(-6 + x) + x2(-6 + x))
fx = -3x((-6 * -9 + x * -9) + x2(-6 + x))
fx = -3x((54 + -9x) + x2(-6 + x))
fx = -3x(54 + -9x + (-6 * x2 + x * x2))
fx = -3x(54 + -9x + (-6x2 + x3))
fx = -3x(54 + -9x + -6x2 + x3)
fx = (54 * -3x + -9x * -3x + -6x2 * -3x + x3 * -3x)
fx = (-162x + 27x2 + 18x3 + -3x4)

Solving
fx = -162x + 27x2 + 18x3 + -3x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -162 + 27x + 18x2 + -3x3

Simplifying
f = -162 + 27x + 18x2 + -3x3

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