f(x)=(x+3)(x^2+4x+7)

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Solution for f(x)=(x+3)(x^2+4x+7) equation: 


Simplifying
f(x) = (x + 3)(x2 + 4x + 7)

Multiply f * x
fx = (x + 3)(x2 + 4x + 7)

Reorder the terms:
fx = (3 + x)(x2 + 4x + 7)

Reorder the terms:
fx = (3 + x)(7 + 4x + x2)

Multiply (3 + x) * (7 + 4x + x2)
fx = (3(7 + 4x + x2) + x(7 + 4x + x2))
fx = ((7 * 3 + 4x * 3 + x2 * 3) + x(7 + 4x + x2))
fx = ((21 + 12x + 3x2) + x(7 + 4x + x2))
fx = (21 + 12x + 3x2 + (7 * x + 4x * x + x2 * x))
fx = (21 + 12x + 3x2 + (7x + 4x2 + x3))

Reorder the terms:
fx = (21 + 12x + 7x + 3x2 + 4x2 + x3)

Combine like terms: 12x + 7x = 19x
fx = (21 + 19x + 3x2 + 4x2 + x3)

Combine like terms: 3x2 + 4x2 = 7x2
fx = (21 + 19x + 7x2 + x3)

Solving
fx = 21 + 19x + 7x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 21x-1 + 19 + 7x + x2

Simplifying
f = 21x-1 + 19 + 7x + x2

Reorder the terms:
f = 19 + 21x-1 + 7x + x2

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