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Simplifying u5 + 9u4 + 22u3 = 0 Reorder the terms: 22u3 + 9u4 + u5 = 0 Solving 22u3 + 9u4 + u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u3'. u3(22 + 9u + u2) = 0Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(22 + 9u + u2)' equal to zero and attempt to solve: Simplifying 22 + 9u + u2 = 0 Solving 22 + 9u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 9u + -22 + u2 = 0 + -22 Reorder the terms: 22 + -22 + 9u + u2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9u + u2 = 0 + -22 9u + u2 = 0 + -22 Combine like terms: 0 + -22 = -22 9u + u2 = -22 The u term is 9u. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9u + 20.25 + u2 = -22 + 20.25 Reorder the terms: 20.25 + 9u + u2 = -22 + 20.25 Combine like terms: -22 + 20.25 = -1.75 20.25 + 9u + u2 = -1.75 Factor a perfect square on the left side: (u + 4.5)(u + 4.5) = -1.75 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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