f(x)=(25-2x)(20-2x)x

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Solution for f(x)=(25-2x)(20-2x)x equation: 


Simplifying
f(x) = (25 + -2x)(20 + -2x) * x

Multiply f * x
fx = (25 + -2x)(20 + -2x) * x

Reorder the terms for easier multiplication:
fx = x(25 + -2x)(20 + -2x)

Multiply (25 + -2x) * (20 + -2x)
fx = x(25(20 + -2x) + -2x * (20 + -2x))
fx = x((20 * 25 + -2x * 25) + -2x * (20 + -2x))
fx = x((500 + -50x) + -2x * (20 + -2x))
fx = x(500 + -50x + (20 * -2x + -2x * -2x))
fx = x(500 + -50x + (-40x + 4x2))

Combine like terms: -50x + -40x = -90x
fx = x(500 + -90x + 4x2)
fx = (500 * x + -90x * x + 4x2 * x)
fx = (500x + -90x2 + 4x3)

Solving
fx = 500x + -90x2 + 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 = 500 + -90x + 4x2

Simplifying
f = 500 + -90x + 4x2

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