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Simplifying 65u5 + 30u6 + 5u7 = 0 Solving 65u5 + 30u6 + 5u7 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u5'. 5u5(13 + 6u + u2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'u5' equal to zero and attempt to solve: Simplifying u5 = 0 Solving u5 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u5 = 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 '(13 + 6u + u2)' equal to zero and attempt to solve: Simplifying 13 + 6u + u2 = 0 Solving 13 + 6u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 6u + -13 + u2 = 0 + -13 Reorder the terms: 13 + -13 + 6u + u2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6u + u2 = 0 + -13 6u + u2 = 0 + -13 Combine like terms: 0 + -13 = -13 6u + u2 = -13 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 = -13 + 9 Reorder the terms: 9 + 6u + u2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + 6u + u2 = -4 Factor a perfect square on the left side: (u + 3)(u + 3) = -4 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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