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Simplifying v5 + 11v4 + 32v3 = 0 Reorder the terms: 32v3 + 11v4 + v5 = 0 Solving 32v3 + 11v4 + v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v3'. v3(32 + 11v + v2) = 0Subproblem 1
Set the factor 'v3' equal to zero and attempt to solve: Simplifying v3 = 0 Solving v3 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v3 = 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 '(32 + 11v + v2)' equal to zero and attempt to solve: Simplifying 32 + 11v + v2 = 0 Solving 32 + 11v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 11v + -32 + v2 = 0 + -32 Reorder the terms: 32 + -32 + 11v + v2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 11v + v2 = 0 + -32 11v + v2 = 0 + -32 Combine like terms: 0 + -32 = -32 11v + v2 = -32 The v term is 11v. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11v + 30.25 + v2 = -32 + 30.25 Reorder the terms: 30.25 + 11v + v2 = -32 + 30.25 Combine like terms: -32 + 30.25 = -1.75 30.25 + 11v + v2 = -1.75 Factor a perfect square on the left side: (v + 5.5)(v + 5.5) = -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. The solution to this equation could not be determined.
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