f(x)=(3x^2+21x-54)(x+9)

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Solution for f(x)=(3x^2+21x-54)(x+9) equation: 


Simplifying
f(x) = (3x2 + 21x + -54)(x + 9)

Multiply f * x
fx = (3x2 + 21x + -54)(x + 9)

Reorder the terms:
fx = (-54 + 21x + 3x2)(x + 9)

Reorder the terms:
fx = (-54 + 21x + 3x2)(9 + x)

Multiply (-54 + 21x + 3x2) * (9 + x)
fx = (-54(9 + x) + 21x * (9 + x) + 3x2 * (9 + x))
fx = ((9 * -54 + x * -54) + 21x * (9 + x) + 3x2 * (9 + x))
fx = ((-486 + -54x) + 21x * (9 + x) + 3x2 * (9 + x))
fx = (-486 + -54x + (9 * 21x + x * 21x) + 3x2 * (9 + x))
fx = (-486 + -54x + (189x + 21x2) + 3x2 * (9 + x))
fx = (-486 + -54x + 189x + 21x2 + (9 * 3x2 + x * 3x2))
fx = (-486 + -54x + 189x + 21x2 + (27x2 + 3x3))

Combine like terms: -54x + 189x = 135x
fx = (-486 + 135x + 21x2 + 27x2 + 3x3)

Combine like terms: 21x2 + 27x2 = 48x2
fx = (-486 + 135x + 48x2 + 3x3)

Solving
fx = -486 + 135x + 48x2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -486x-1 + 135 + 48x + 3x2

Simplifying
f = -486x-1 + 135 + 48x + 3x2

Reorder the terms:
f = 135 + -486x-1 + 48x + 3x2

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