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Simplifying -8u + -17 = u2 Reorder the terms: -17 + -8u = u2 Solving -17 + -8u = u2 Solving for variable 'u'. Combine like terms: u2 + -1u2 = 0 -17 + -8u + -1u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(17 + 8u + u2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(17 + 8u + u2)' equal to zero and attempt to solve: Simplifying 17 + 8u + u2 = 0 Solving 17 + 8u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 8u + -17 + u2 = 0 + -17 Reorder the terms: 17 + -17 + 8u + u2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 8u + u2 = 0 + -17 8u + u2 = 0 + -17 Combine like terms: 0 + -17 = -17 8u + u2 = -17 The u term is 8u. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8u + 16 + u2 = -17 + 16 Reorder the terms: 16 + 8u + u2 = -17 + 16 Combine like terms: -17 + 16 = -1 16 + 8u + u2 = -1 Factor a perfect square on the left side: (u + 4)(u + 4) = -1 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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