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

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


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

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

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

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

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

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

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

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 + 5 + -2x + 5x2

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

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

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