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Simplifying f(x) = -0.5(x + 2)(x + -4) Multiply f * x fx = -0.5(x + 2)(x + -4) Reorder the terms: fx = -0.5(2 + x)(x + -4) Reorder the terms: fx = -0.5(2 + x)(-4 + x) Multiply (2 + x) * (-4 + x) fx = -0.5(2(-4 + x) + x(-4 + x)) fx = -0.5((-4 * 2 + x * 2) + x(-4 + x)) fx = -0.5((-8 + 2x) + x(-4 + x)) fx = -0.5(-8 + 2x + (-4 * x + x * x)) fx = -0.5(-8 + 2x + (-4x + x2)) Combine like terms: 2x + -4x = -2x fx = -0.5(-8 + -2x + x2) fx = (-8 * -0.5 + -2x * -0.5 + x2 * -0.5) fx = (4 + 1x + -0.5x2) Solving fx = 4 + 1x + -0.5x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4x-1 + 1 + -0.5x Simplifying f = 4x-1 + 1 + -0.5x Reorder the terms: f = 1 + 4x-1 + -0.5x
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