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Simplifying f(x) = (x + -0.22)(x + 0.5) Multiply f * x fx = (x + -0.22)(x + 0.5) Reorder the terms: fx = (-0.22 + x)(x + 0.5) Reorder the terms: fx = (-0.22 + x)(0.5 + x) Multiply (-0.22 + x) * (0.5 + x) fx = (-0.22(0.5 + x) + x(0.5 + x)) fx = ((0.5 * -0.22 + x * -0.22) + x(0.5 + x)) fx = ((-0.11 + -0.22x) + x(0.5 + x)) fx = (-0.11 + -0.22x + (0.5 * x + x * x)) fx = (-0.11 + -0.22x + (0.5x + x2)) Combine like terms: -0.22x + 0.5x = 0.28x fx = (-0.11 + 0.28x + x2) Solving fx = -0.11 + 0.28x + 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 = -0.11x-1 + 0.28 + x Simplifying f = -0.11x-1 + 0.28 + x Reorder the terms: f = 0.28 + -0.11x-1 + x
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