f(x)=(x+5)(x-3)

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Solution for f(x)=(x+5)(x-3) equation: 


Simplifying
f(x) = (x + 5)(x + -3)

Multiply f * x
fx = (x + 5)(x + -3)

Reorder the terms:
fx = (5 + x)(x + -3)

Reorder the terms:
fx = (5 + x)(-3 + x)

Multiply (5 + x) * (-3 + x)
fx = (5(-3 + x) + x(-3 + x))
fx = ((-3 * 5 + x * 5) + x(-3 + x))
fx = ((-15 + 5x) + x(-3 + x))
fx = (-15 + 5x + (-3 * x + x * x))
fx = (-15 + 5x + (-3x + x2))

Combine like terms: 5x + -3x = 2x
fx = (-15 + 2x + x2)

Solving
fx = -15 + 2x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -15x-1 + 2 + x

Simplifying
f = -15x-1 + 2 + x

Reorder the terms:
f = 2 + -15x-1 + x

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