f(x)=(4-2x)(5-x)

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Solution for f(x)=(4-2x)(5-x) equation:


Simplifying
f(x) = (4 + -2x)(5 + -1x)

Multiply f * x
fx = (4 + -2x)(5 + -1x)

Multiply (4 + -2x) * (5 + -1x)
fx = (4(5 + -1x) + -2x * (5 + -1x))
fx = ((5 * 4 + -1x * 4) + -2x * (5 + -1x))
fx = ((20 + -4x) + -2x * (5 + -1x))
fx = (20 + -4x + (5 * -2x + -1x * -2x))
fx = (20 + -4x + (-10x + 2x2))

Combine like terms: -4x + -10x = -14x
fx = (20 + -14x + 2x2)

Solving
fx = 20 + -14x + 2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 20x-1 + -14 + 2x

Simplifying
f = 20x-1 + -14 + 2x

Reorder the terms:
f = -14 + 20x-1 + 2x

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