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Simplifying -1u2 + -2u = 16 Reorder the terms: -2u + -1u2 = 16 Solving -2u + -1u2 = 16 Solving for variable 'u'. Reorder the terms: -16 + -2u + -1u2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -2u + -1u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 2u + u2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(16 + 2u + u2)' equal to zero and attempt to solve: Simplifying 16 + 2u + u2 = 0 Solving 16 + 2u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 2u + -16 + u2 = 0 + -16 Reorder the terms: 16 + -16 + 2u + u2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2u + u2 = 0 + -16 2u + u2 = 0 + -16 Combine like terms: 0 + -16 = -16 2u + u2 = -16 The u term is 2u. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2u + 1 + u2 = -16 + 1 Reorder the terms: 1 + 2u + u2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + 2u + u2 = -15 Factor a perfect square on the left side: (u + 1)(u + 1) = -15 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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