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Simplifying 5v6 + -15v5 + 65v4 = 0 Reorder the terms: 65v4 + -15v5 + 5v6 = 0 Solving 65v4 + -15v5 + 5v6 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5v4'. 5v4(13 + -3v + v2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'v4' equal to zero and attempt to solve: Simplifying v4 = 0 Solving v4 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v4 = 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 '(13 + -3v + v2)' equal to zero and attempt to solve: Simplifying 13 + -3v + v2 = 0 Solving 13 + -3v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -3v + -13 + v2 = 0 + -13 Reorder the terms: 13 + -13 + -3v + v2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3v + v2 = 0 + -13 -3v + v2 = 0 + -13 Combine like terms: 0 + -13 = -13 -3v + v2 = -13 The v term is -3v. 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. -3v + 2.25 + v2 = -13 + 2.25 Reorder the terms: 2.25 + -3v + v2 = -13 + 2.25 Combine like terms: -13 + 2.25 = -10.75 2.25 + -3v + v2 = -10.75 Factor a perfect square on the left side: (v + -1.5)(v + -1.5) = -10.75 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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