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Simplifying C(x) = (0.1x)(0.1x) + -0.2x + 9.868 Multiply C * x xC = (0.1x)(0.1x) + -0.2x + 9.868 Remove parenthesis around (0.1x) xC = 0.1x(0.1x) + -0.2x + 9.868 Remove parenthesis around (0.1x) xC = 0.1x * 0.1x + -0.2x + 9.868 Reorder the terms for easier multiplication: xC = 0.1 * 0.1x * x + -0.2x + 9.868 Multiply 0.1 * 0.1 xC = 0.01x * x + -0.2x + 9.868 Multiply x * x xC = 0.01x2 + -0.2x + 9.868 Reorder the terms: xC = 9.868 + -0.2x + 0.01x2 Solving xC = 9.868 + -0.2x + 0.01x2 Solving for variable 'x'. Reorder the terms: -9.868 + 0.2x + xC + -0.01x2 = 9.868 + -0.2x + 0.01x2 + -9.868 + 0.2x + -0.01x2 Reorder the terms: -9.868 + 0.2x + xC + -0.01x2 = 9.868 + -9.868 + -0.2x + 0.2x + 0.01x2 + -0.01x2 Combine like terms: 9.868 + -9.868 = 0.000 -9.868 + 0.2x + xC + -0.01x2 = 0.000 + -0.2x + 0.2x + 0.01x2 + -0.01x2 -9.868 + 0.2x + xC + -0.01x2 = -0.2x + 0.2x + 0.01x2 + -0.01x2 Combine like terms: -0.2x + 0.2x = 0.0 -9.868 + 0.2x + xC + -0.01x2 = 0.0 + 0.01x2 + -0.01x2 -9.868 + 0.2x + xC + -0.01x2 = 0.01x2 + -0.01x2 Combine like terms: 0.01x2 + -0.01x2 = 0.00 -9.868 + 0.2x + xC + -0.01x2 = 0.00 The solution to this equation could not be determined.
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