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Simplifying 5u2 + 35u + 115 = 0 Reorder the terms: 115 + 35u + 5u2 = 0 Solving 115 + 35u + 5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(23 + 7u + u2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(23 + 7u + u2)' equal to zero and attempt to solve: Simplifying 23 + 7u + u2 = 0 Solving 23 + 7u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + 7u + -23 + u2 = 0 + -23 Reorder the terms: 23 + -23 + 7u + u2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7u + u2 = 0 + -23 7u + u2 = 0 + -23 Combine like terms: 0 + -23 = -23 7u + u2 = -23 The u term is 7u. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7u + 12.25 + u2 = -23 + 12.25 Reorder the terms: 12.25 + 7u + u2 = -23 + 12.25 Combine like terms: -23 + 12.25 = -10.75 12.25 + 7u + u2 = -10.75 Factor a perfect square on the left side: (u + 3.5)(u + 3.5) = -10.75 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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