f(x)=-4x(x-5)(x-6)

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Solution for f(x)=-4x(x-5)(x-6) equation: 


Simplifying
f(x) = -4x(x + -5)(x + -6)

Multiply f * x
fx = -4x(x + -5)(x + -6)

Reorder the terms:
fx = -4x(-5 + x)(x + -6)

Reorder the terms:
fx = -4x(-5 + x)(-6 + x)

Multiply (-5 + x) * (-6 + x)
fx = -4x(-5(-6 + x) + x(-6 + x))
fx = -4x((-6 * -5 + x * -5) + x(-6 + x))
fx = -4x((30 + -5x) + x(-6 + x))
fx = -4x(30 + -5x + (-6 * x + x * x))
fx = -4x(30 + -5x + (-6x + x2))

Combine like terms: -5x + -6x = -11x
fx = -4x(30 + -11x + x2)
fx = (30 * -4x + -11x * -4x + x2 * -4x)
fx = (-120x + 44x2 + -4x3)

Solving
fx = -120x + 44x2 + -4x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -120 + 44x + -4x2

Simplifying
f = -120 + 44x + -4x2

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