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Simplifying 3v5 + -21v4 + 66v3 = 0 Reorder the terms: 66v3 + -21v4 + 3v5 = 0 Solving 66v3 + -21v4 + 3v5 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '3v3'. 3v3(22 + -7v + v2) = 0 Ignore the factor 3.Subproblem 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 '(22 + -7v + v2)' equal to zero and attempt to solve: Simplifying 22 + -7v + v2 = 0 Solving 22 + -7v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -7v + -22 + v2 = 0 + -22 Reorder the terms: 22 + -22 + -7v + v2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7v + v2 = 0 + -22 -7v + v2 = 0 + -22 Combine like terms: 0 + -22 = -22 -7v + v2 = -22 The v term is -7v. 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. -7v + 12.25 + v2 = -22 + 12.25 Reorder the terms: 12.25 + -7v + v2 = -22 + 12.25 Combine like terms: -22 + 12.25 = -9.75 12.25 + -7v + v2 = -9.75 Factor a perfect square on the left side: (v + -3.5)(v + -3.5) = -9.75 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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