f(x)=(400+20x)(90-2x)

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Solution for f(x)=(400+20x)(90-2x) equation: 


Simplifying
f(x) = (400 + 20x)(90 + -2x)

Multiply f * x
fx = (400 + 20x)(90 + -2x)

Multiply (400 + 20x) * (90 + -2x)
fx = (400(90 + -2x) + 20x * (90 + -2x))
fx = ((90 * 400 + -2x * 400) + 20x * (90 + -2x))
fx = ((36000 + -800x) + 20x * (90 + -2x))
fx = (36000 + -800x + (90 * 20x + -2x * 20x))
fx = (36000 + -800x + (1800x + -40x2))

Combine like terms: -800x + 1800x = 1000x
fx = (36000 + 1000x + -40x2)

Solving
fx = 36000 + 1000x + -40x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 36000x-1 + 1000 + -40x

Simplifying
f = 36000x-1 + 1000 + -40x

Reorder the terms:
f = 1000 + 36000x-1 + -40x

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