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Simplifying 1v5 + -14v4 + 55v3 = 0 Reorder the terms: 55v3 + -14v4 + 1v5 = 0 Solving 55v3 + -14v4 + 1v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v3'. v3(55 + -14v + 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 '(55 + -14v + v2)' equal to zero and attempt to solve: Simplifying 55 + -14v + v2 = 0 Solving 55 + -14v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-55' to each side of the equation. 55 + -14v + -55 + v2 = 0 + -55 Reorder the terms: 55 + -55 + -14v + v2 = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -14v + v2 = 0 + -55 -14v + v2 = 0 + -55 Combine like terms: 0 + -55 = -55 -14v + v2 = -55 The v term is -14v. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14v + 49 + v2 = -55 + 49 Reorder the terms: 49 + -14v + v2 = -55 + 49 Combine like terms: -55 + 49 = -6 49 + -14v + v2 = -6 Factor a perfect square on the left side: (v + -7)(v + -7) = -6 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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