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Simplifying f(x) = -0.5(x + 7)(x + -3) Multiply f * x fx = -0.5(x + 7)(x + -3) Reorder the terms: fx = -0.5(7 + x)(x + -3) Reorder the terms: fx = -0.5(7 + x)(-3 + x) Multiply (7 + x) * (-3 + x) fx = -0.5(7(-3 + x) + x(-3 + x)) fx = -0.5((-3 * 7 + x * 7) + x(-3 + x)) fx = -0.5((-21 + 7x) + x(-3 + x)) fx = -0.5(-21 + 7x + (-3 * x + x * x)) fx = -0.5(-21 + 7x + (-3x + x2)) Combine like terms: 7x + -3x = 4x fx = -0.5(-21 + 4x + x2) fx = (-21 * -0.5 + 4x * -0.5 + x2 * -0.5) fx = (10.5 + -2x + -0.5x2) Solving fx = 10.5 + -2x + -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 = 10.5x-1 + -2 + -0.5x Simplifying f = 10.5x-1 + -2 + -0.5x Reorder the terms: f = -2 + 10.5x-1 + -0.5x
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