f(x)=(x+1)(x^3+5x+2)

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Solution for f(x)=(x+1)(x^3+5x+2) equation: 


Simplifying
f(x) = (x + 1)(x3 + 5x + 2)

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

Reorder the terms:
fx = (1 + x)(x3 + 5x + 2)

Reorder the terms:
fx = (1 + x)(2 + 5x + x3)

Multiply (1 + x) * (2 + 5x + x3)
fx = (1(2 + 5x + x3) + x(2 + 5x + x3))
fx = ((2 * 1 + 5x * 1 + x3 * 1) + x(2 + 5x + x3))
fx = ((2 + 5x + 1x3) + x(2 + 5x + x3))
fx = (2 + 5x + 1x3 + (2 * x + 5x * x + x3 * x))
fx = (2 + 5x + 1x3 + (2x + 5x2 + x4))

Reorder the terms:
fx = (2 + 5x + 2x + 5x2 + 1x3 + x4)

Combine like terms: 5x + 2x = 7x
fx = (2 + 7x + 5x2 + 1x3 + x4)

Solving
fx = 2 + 7x + 5x2 + 1x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2x-1 + 7 + 5x + x2 + x3

Simplifying
f = 2x-1 + 7 + 5x + x2 + x3

Reorder the terms:
f = 7 + 2x-1 + 5x + x2 + x3

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