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

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


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

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

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

Combine like terms: 2x + -5x = -3x
fx = (10 + -3x + -1x2)

Solving
fx = 10 + -3x + -1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 10x-1 + -3 + -1x

Simplifying
f = 10x-1 + -3 + -1x

Reorder the terms:
f = -3 + 10x-1 + -1x

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