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Simplifying 5u7 + -15u6 + 25u5 = 0 Reorder the terms: 25u5 + -15u6 + 5u7 = 0 Solving 25u5 + -15u6 + 5u7 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u5'. 5u5(5 + -3u + 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 '(5 + -3u + u2)' equal to zero and attempt to solve: Simplifying 5 + -3u + u2 = 0 Solving 5 + -3u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3u + -5 + u2 = 0 + -5 Reorder the terms: 5 + -5 + -3u + u2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u + u2 = 0 + -5 -3u + u2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3u + u2 = -5 The u term is -3u. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3u + 2.25 + u2 = -5 + 2.25 Reorder the terms: 2.25 + -3u + u2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3u + u2 = -2.75 Factor a perfect square on the left side: (u + -1.5)(u + -1.5) = -2.75 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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