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

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Solution for f(x)=(5-2x)(x^2+1) equation: 


Simplifying
f(x) = (5 + -2x)(x2 + 1)

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

Reorder the terms:
fx = (5 + -2x)(1 + x2)

Multiply (5 + -2x) * (1 + x2)
fx = (5(1 + x2) + -2x * (1 + x2))
fx = ((1 * 5 + x2 * 5) + -2x * (1 + x2))
fx = ((5 + 5x2) + -2x * (1 + x2))
fx = (5 + 5x2 + (1 * -2x + x2 * -2x))
fx = (5 + 5x2 + (-2x + -2x3))

Reorder the terms:
fx = (5 + -2x + 5x2 + -2x3)
fx = (5 + -2x + 5x2 + -2x3)

Solving
fx = 5 + -2x + 5x2 + -2x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5x-1 + -2 + 5x + -2x2

Simplifying
f = 5x-1 + -2 + 5x + -2x2

Reorder the terms:
f = -2 + 5x-1 + 5x + -2x2

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