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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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