f(x)=(x+5)(x^2-4)

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Solution for f(x)=(x+5)(x^2-4) equation: 


Simplifying
f(x) = (x + 5)(x2 + -4)

Multiply f * x
fx = (x + 5)(x2 + -4)

Reorder the terms:
fx = (5 + x)(x2 + -4)

Reorder the terms:
fx = (5 + x)(-4 + x2)

Multiply (5 + x) * (-4 + x2)
fx = (5(-4 + x2) + x(-4 + x2))
fx = ((-4 * 5 + x2 * 5) + x(-4 + x2))
fx = ((-20 + 5x2) + x(-4 + x2))
fx = (-20 + 5x2 + (-4 * x + x2 * x))
fx = (-20 + 5x2 + (-4x + x3))

Reorder the terms:
fx = (-20 + -4x + 5x2 + x3)
fx = (-20 + -4x + 5x2 + x3)

Solving
fx = -20 + -4x + 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 = -20x-1 + -4 + 5x + x2

Simplifying
f = -20x-1 + -4 + 5x + x2

Reorder the terms:
f = -4 + -20x-1 + 5x + x2

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