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Simplifying 3u2 + 18u + 30 = 0 Reorder the terms: 30 + 18u + 3u2 = 0 Solving 30 + 18u + 3u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 6u + u2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + 6u + u2)' equal to zero and attempt to solve: Simplifying 10 + 6u + u2 = 0 Solving 10 + 6u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 6u + -10 + u2 = 0 + -10 Reorder the terms: 10 + -10 + 6u + u2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6u + u2 = 0 + -10 6u + u2 = 0 + -10 Combine like terms: 0 + -10 = -10 6u + u2 = -10 The u term is 6u. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6u + 9 + u2 = -10 + 9 Reorder the terms: 9 + 6u + u2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + 6u + u2 = -1 Factor a perfect square on the left side: (u + 3)(u + 3) = -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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