f(x)=(x-5)(x^2+16)

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Solution for f(x)=(x-5)(x^2+16) equation: 


Simplifying
f(x) = (x + -5)(x2 + 16)

Multiply f * x
fx = (x + -5)(x2 + 16)

Reorder the terms:
fx = (-5 + x)(x2 + 16)

Reorder the terms:
fx = (-5 + x)(16 + x2)

Multiply (-5 + x) * (16 + x2)
fx = (-5(16 + x2) + x(16 + x2))
fx = ((16 * -5 + x2 * -5) + x(16 + x2))
fx = ((-80 + -5x2) + x(16 + x2))
fx = (-80 + -5x2 + (16 * x + x2 * x))
fx = (-80 + -5x2 + (16x + x3))

Reorder the terms:
fx = (-80 + 16x + -5x2 + x3)
fx = (-80 + 16x + -5x2 + x3)

Solving
fx = -80 + 16x + -5x2 + 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 = -80x-1 + 16 + -5x + x2

Simplifying
f = -80x-1 + 16 + -5x + x2

Reorder the terms:
f = 16 + -80x-1 + -5x + x2

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