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

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


Simplifying
f(x) = (2x + 3)(x2 + x)

Multiply f * x
fx = (2x + 3)(x2 + x)

Reorder the terms:
fx = (3 + 2x)(x2 + x)

Reorder the terms:
fx = (3 + 2x)(x + x2)

Multiply (3 + 2x) * (x + x2)
fx = (3(x + x2) + 2x * (x + x2))
fx = ((x * 3 + x2 * 3) + 2x * (x + x2))
fx = ((3x + 3x2) + 2x * (x + x2))
fx = (3x + 3x2 + (x * 2x + x2 * 2x))
fx = (3x + 3x2 + (2x2 + 2x3))

Combine like terms: 3x2 + 2x2 = 5x2
fx = (3x + 5x2 + 2x3)

Solving
fx = 3x + 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 = 3 + 5x + 2x2

Simplifying
f = 3 + 5x + 2x2

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