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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