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Simplifying f(x) = (x + -9)(x + 6) Multiply f * x fx = (x + -9)(x + 6) Reorder the terms: fx = (-9 + x)(x + 6) Reorder the terms: fx = (-9 + x)(6 + x) Multiply (-9 + x) * (6 + x) fx = (-9(6 + x) + x(6 + x)) fx = ((6 * -9 + x * -9) + x(6 + x)) fx = ((-54 + -9x) + x(6 + x)) fx = (-54 + -9x + (6 * x + x * x)) fx = (-54 + -9x + (6x + x2)) Combine like terms: -9x + 6x = -3x fx = (-54 + -3x + x2) Solving fx = -54 + -3x + 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 = -54x-1 + -3 + x Simplifying f = -54x-1 + -3 + x Reorder the terms: f = -3 + -54x-1 + x
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