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Simplifying f(x) = x((-0.0096) * x + 1300) + -1(0.0097x2 + 1000000) Multiply f * x fx = x((-0.0096) * x + 1300) + -1(0.0097x2 + 1000000) Reorder the terms: fx = x(1300 + -0.0096x) + -1(0.0097x2 + 1000000) fx = (1300 * x + -0.0096x * x) + -1(0.0097x2 + 1000000) fx = (1300x + -0.0096x2) + -1(0.0097x2 + 1000000) Reorder the terms: fx = 1300x + -0.0096x2 + -1(1000000 + 0.0097x2) fx = 1300x + -0.0096x2 + (1000000 * -1 + 0.0097x2 * -1) fx = 1300x + -0.0096x2 + (-1000000 + -0.0097x2) Reorder the terms: fx = -1000000 + 1300x + -0.0096x2 + -0.0097x2 Combine like terms: -0.0096x2 + -0.0097x2 = -0.0193x2 fx = -1000000 + 1300x + -0.0193x2 Solving fx = -1000000 + 1300x + -0.0193x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1000000x-1 + 1300 + -0.0193x Simplifying f = -1000000x-1 + 1300 + -0.0193x Reorder the terms: f = 1300 + -1000000x-1 + -0.0193x
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