f(x)=x(8.5-2x)(11-2x)

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Solution for f(x)=x(8.5-2x)(11-2x) equation: 


Simplifying
f(x) = x(8.5 + -2x)(11 + -2x)

Multiply f * x
fx = x(8.5 + -2x)(11 + -2x)

Multiply (8.5 + -2x) * (11 + -2x)
fx = x(8.5(11 + -2x) + -2x * (11 + -2x))
fx = x((11 * 8.5 + -2x * 8.5) + -2x * (11 + -2x))
fx = x((93.5 + -17x) + -2x * (11 + -2x))
fx = x(93.5 + -17x + (11 * -2x + -2x * -2x))
fx = x(93.5 + -17x + (-22x + 4x2))

Combine like terms: -17x + -22x = -39x
fx = x(93.5 + -39x + 4x2)
fx = (93.5 * x + -39x * x + 4x2 * x)
fx = (93.5x + -39x2 + 4x3)

Solving
fx = 93.5x + -39x2 + 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 = 93.5 + -39x + 4x2

Simplifying
f = 93.5 + -39x + 4x2

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