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Simplifying f(x) = (x + -3)(x + 2) Multiply f * x fx = (x + -3)(x + 2) Reorder the terms: fx = (-3 + x)(x + 2) Reorder the terms: fx = (-3 + x)(2 + x) Multiply (-3 + x) * (2 + x) fx = (-3(2 + x) + x(2 + x)) fx = ((2 * -3 + x * -3) + x(2 + x)) fx = ((-6 + -3x) + x(2 + x)) fx = (-6 + -3x + (2 * x + x * x)) fx = (-6 + -3x + (2x + x2)) Combine like terms: -3x + 2x = -1x fx = (-6 + -1x + x2) Solving fx = -6 + -1x + 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 = -6x-1 + -1 + x Simplifying f = -6x-1 + -1 + x Reorder the terms: f = -1 + -6x-1 + x
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