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Simplifying f(x) = 0.25(x + 2)(x + -1) * 2 Multiply f * x fx = 0.25(x + 2)(x + -1) * 2 Reorder the terms: fx = 0.25(2 + x)(x + -1) * 2 Reorder the terms: fx = 0.25(2 + x)(-1 + x) * 2 Reorder the terms for easier multiplication: fx = 0.25 * 2(2 + x)(-1 + x) Multiply 0.25 * 2 fx = 0.5(2 + x)(-1 + x) Multiply (2 + x) * (-1 + x) fx = 0.5(2(-1 + x) + x(-1 + x)) fx = 0.5((-1 * 2 + x * 2) + x(-1 + x)) fx = 0.5((-2 + 2x) + x(-1 + x)) fx = 0.5(-2 + 2x + (-1 * x + x * x)) fx = 0.5(-2 + 2x + (-1x + x2)) Combine like terms: 2x + -1x = 1x fx = 0.5(-2 + 1x + x2) fx = (-2 * 0.5 + 1x * 0.5 + x2 * 0.5) fx = (-1 + 0.5x + 0.5x2) Solving fx = -1 + 0.5x + 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 = -1x-1 + 0.5 + 0.5x Simplifying f = -1x-1 + 0.5 + 0.5x Reorder the terms: f = 0.5 + -1x-1 + 0.5x
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