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Simplifying f(x) = (x + -3)(x + 5) Multiply f * x fx = (x + -3)(x + 5) Reorder the terms: fx = (-3 + x)(x + 5) Reorder the terms: fx = (-3 + x)(5 + x) Multiply (-3 + x) * (5 + x) fx = (-3(5 + x) + x(5 + x)) fx = ((5 * -3 + x * -3) + x(5 + x)) fx = ((-15 + -3x) + x(5 + x)) fx = (-15 + -3x + (5 * x + x * x)) fx = (-15 + -3x + (5x + x2)) Combine like terms: -3x + 5x = 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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