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Simplifying 5u2 + 30u + 70 = 0 Reorder the terms: 70 + 30u + 5u2 = 0 Solving 70 + 30u + 5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5'. 5(14 + 6u + u2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(14 + 6u + u2)' equal to zero and attempt to solve: Simplifying 14 + 6u + u2 = 0 Solving 14 + 6u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 6u + -14 + u2 = 0 + -14 Reorder the terms: 14 + -14 + 6u + u2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6u + u2 = 0 + -14 6u + u2 = 0 + -14 Combine like terms: 0 + -14 = -14 6u + u2 = -14 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 = -14 + 9 Reorder the terms: 9 + 6u + u2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + 6u + u2 = -5 Factor a perfect square on the left side: (u + 3)(u + 3) = -5 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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