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Simplifying 4u3 + -28u2 + 76u = 0 Reorder the terms: 76u + -28u2 + 4u3 = 0 Solving 76u + -28u2 + 4u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u'. 4u(19 + -7u + u2) = 0 Ignore the factor 4.Subproblem 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 '(19 + -7u + u2)' equal to zero and attempt to solve: Simplifying 19 + -7u + u2 = 0 Solving 19 + -7u + u2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -7u + -19 + u2 = 0 + -19 Reorder the terms: 19 + -19 + -7u + u2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -7u + u2 = 0 + -19 -7u + u2 = 0 + -19 Combine like terms: 0 + -19 = -19 -7u + u2 = -19 The u term is -7u. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7u + 12.25 + u2 = -19 + 12.25 Reorder the terms: 12.25 + -7u + u2 = -19 + 12.25 Combine like terms: -19 + 12.25 = -6.75 12.25 + -7u + u2 = -6.75 Factor a perfect square on the left side: (u + -3.5)(u + -3.5) = -6.75 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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