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Simplifying f(x) = (x + -3)(2x + 6) Multiply f * x fx = (x + -3)(2x + 6) Reorder the terms: fx = (-3 + x)(2x + 6) Reorder the terms: fx = (-3 + x)(6 + 2x) Multiply (-3 + x) * (6 + 2x) fx = (-3(6 + 2x) + x(6 + 2x)) fx = ((6 * -3 + 2x * -3) + x(6 + 2x)) fx = ((-18 + -6x) + x(6 + 2x)) fx = (-18 + -6x + (6 * x + 2x * x)) fx = (-18 + -6x + (6x + 2x2)) Combine like terms: -6x + 6x = 0 fx = (-18 + 0 + 2x2) fx = (-18 + 2x2) Solving fx = -18 + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -18x-1 + 2x Simplifying f = -18x-1 + 2x
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