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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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