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Simplifying x = 2500 + 12x + 0.01538x2 Solving x = 2500 + 12x + 0.01538x2 Solving for variable 'x'. Reorder the terms: -2500 + x + -12x + -0.01538x2 = 2500 + 12x + 0.01538x2 + -2500 + -12x + -0.01538x2 Combine like terms: x + -12x = -11x -2500 + -11x + -0.01538x2 = 2500 + 12x + 0.01538x2 + -2500 + -12x + -0.01538x2 Reorder the terms: -2500 + -11x + -0.01538x2 = 2500 + -2500 + 12x + -12x + 0.01538x2 + -0.01538x2 Combine like terms: 2500 + -2500 = 0 -2500 + -11x + -0.01538x2 = 0 + 12x + -12x + 0.01538x2 + -0.01538x2 -2500 + -11x + -0.01538x2 = 12x + -12x + 0.01538x2 + -0.01538x2 Combine like terms: 12x + -12x = 0 -2500 + -11x + -0.01538x2 = 0 + 0.01538x2 + -0.01538x2 -2500 + -11x + -0.01538x2 = 0.01538x2 + -0.01538x2 Combine like terms: 0.01538x2 + -0.01538x2 = 0.00000 -2500 + -11x + -0.01538x2 = 0.00000 Begin completing the square. Divide all terms by -0.01538 the coefficient of the squared term: Divide each side by '-0.01538'. 162548.7646 + 715.2145644x + x2 = 0 Move the constant term to the right: Add '-162548.7646' to each side of the equation. 162548.7646 + 715.2145644x + -162548.7646 + x2 = 0 + -162548.7646 Reorder the terms: 162548.7646 + -162548.7646 + 715.2145644x + x2 = 0 + -162548.7646 Combine like terms: 162548.7646 + -162548.7646 = 0.0000 0.0000 + 715.2145644x + x2 = 0 + -162548.7646 715.2145644x + x2 = 0 + -162548.7646 Combine like terms: 0 + -162548.7646 = -162548.7646 715.2145644x + x2 = -162548.7646 The x term is 715.2145644x. Take half its coefficient (357.6072822). Square it (127882.9683) and add it to both sides. Add '127882.9683' to each side of the equation. 715.2145644x + 127882.9683 + x2 = -162548.7646 + 127882.9683 Reorder the terms: 127882.9683 + 715.2145644x + x2 = -162548.7646 + 127882.9683 Combine like terms: -162548.7646 + 127882.9683 = -34665.7963 127882.9683 + 715.2145644x + x2 = -34665.7963 Factor a perfect square on the left side: (x + 357.6072822)(x + 357.6072822) = -34665.7963 Can't calculate square root of the right side. The solution to this equation could not be determined.
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