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Simplifying -26u2 + -11u + -15 = 0 Reorder the terms: -15 + -11u + -26u2 = 0 Solving -15 + -11u + -26u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 11u + 26u2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 11u + 26u2)' equal to zero and attempt to solve: Simplifying 15 + 11u + 26u2 = 0 Solving 15 + 11u + 26u2 = 0 Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 0.5769230769 + 0.4230769231u + u2 = 0 Move the constant term to the right: Add '-0.5769230769' to each side of the equation. 0.5769230769 + 0.4230769231u + -0.5769230769 + u2 = 0 + -0.5769230769 Reorder the terms: 0.5769230769 + -0.5769230769 + 0.4230769231u + u2 = 0 + -0.5769230769 Combine like terms: 0.5769230769 + -0.5769230769 = 0.0000000000 0.0000000000 + 0.4230769231u + u2 = 0 + -0.5769230769 0.4230769231u + u2 = 0 + -0.5769230769 Combine like terms: 0 + -0.5769230769 = -0.5769230769 0.4230769231u + u2 = -0.5769230769 The u term is 0.4230769231u. Take half its coefficient (0.2115384616). Square it (0.04474852074) and add it to both sides. Add '0.04474852074' to each side of the equation. 0.4230769231u + 0.04474852074 + u2 = -0.5769230769 + 0.04474852074 Reorder the terms: 0.04474852074 + 0.4230769231u + u2 = -0.5769230769 + 0.04474852074 Combine like terms: -0.5769230769 + 0.04474852074 = -0.53217455616 0.04474852074 + 0.4230769231u + u2 = -0.53217455616 Factor a perfect square on the left side: (u + 0.2115384616)(u + 0.2115384616) = -0.53217455616 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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