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Simplifying u3 + -3u2 + 4u = 0 Reorder the terms: 4u + -3u2 + u3 = 0 Solving 4u + -3u2 + u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(4 + -3u + u2) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(4 + -3u + u2)' equal to zero and attempt to solve: Simplifying 4 + -3u + u2 = 0 Solving 4 + -3u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3u + -4 + u2 = 0 + -4 Reorder the terms: 4 + -4 + -3u + u2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u + u2 = 0 + -4 -3u + u2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3u + u2 = -4 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 = -4 + 2.25 Reorder the terms: 2.25 + -3u + u2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3u + u2 = -1.75 Factor a perfect square on the left side: (u + -1.5)(u + -1.5) = -1.75 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.Solution
u = {0}
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