f(x)=(2x-27)(x^2+54)

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Solution for f(x)=(2x-27)(x^2+54) equation: 


Simplifying
f(x) = (2x + -27)(x2 + 54)

Multiply f * x
fx = (2x + -27)(x2 + 54)

Reorder the terms:
fx = (-27 + 2x)(x2 + 54)

Reorder the terms:
fx = (-27 + 2x)(54 + x2)

Multiply (-27 + 2x) * (54 + x2)
fx = (-27(54 + x2) + 2x * (54 + x2))
fx = ((54 * -27 + x2 * -27) + 2x * (54 + x2))
fx = ((-1458 + -27x2) + 2x * (54 + x2))
fx = (-1458 + -27x2 + (54 * 2x + x2 * 2x))
fx = (-1458 + -27x2 + (108x + 2x3))

Reorder the terms:
fx = (-1458 + 108x + -27x2 + 2x3)
fx = (-1458 + 108x + -27x2 + 2x3)

Solving
fx = -1458 + 108x + -27x2 + 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 = -1458x-1 + 108 + -27x + 2x2

Simplifying
f = -1458x-1 + 108 + -27x + 2x2

Reorder the terms:
f = 108 + -1458x-1 + -27x + 2x2

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