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Simplifying P(x) = -0.0001x2 + 70x + 12500 Multiply P * x xP = -0.0001x2 + 70x + 12500 Reorder the terms: xP = 12500 + 70x + -0.0001x2 Solving xP = 12500 + 70x + -0.0001x2 Solving for variable 'x'. Reorder the terms: -12500 + -70x + xP + 0.0001x2 = 12500 + 70x + -0.0001x2 + -12500 + -70x + 0.0001x2 Reorder the terms: -12500 + -70x + xP + 0.0001x2 = 12500 + -12500 + 70x + -70x + -0.0001x2 + 0.0001x2 Combine like terms: 12500 + -12500 = 0 -12500 + -70x + xP + 0.0001x2 = 0 + 70x + -70x + -0.0001x2 + 0.0001x2 -12500 + -70x + xP + 0.0001x2 = 70x + -70x + -0.0001x2 + 0.0001x2 Combine like terms: 70x + -70x = 0 -12500 + -70x + xP + 0.0001x2 = 0 + -0.0001x2 + 0.0001x2 -12500 + -70x + xP + 0.0001x2 = -0.0001x2 + 0.0001x2 Combine like terms: -0.0001x2 + 0.0001x2 = 0.0000 -12500 + -70x + xP + 0.0001x2 = 0.0000 The solution to this equation could not be determined.
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