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Simplifying v6 + -3v5 + 10v4 = 0 Reorder the terms: 10v4 + -3v5 + v6 = 0 Solving 10v4 + -3v5 + v6 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'v4'. v4(10 + -3v + v2) = 0Subproblem 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 '(10 + -3v + v2)' equal to zero and attempt to solve: Simplifying 10 + -3v + v2 = 0 Solving 10 + -3v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -3v + -10 + v2 = 0 + -10 Reorder the terms: 10 + -10 + -3v + v2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3v + v2 = 0 + -10 -3v + v2 = 0 + -10 Combine like terms: 0 + -10 = -10 -3v + v2 = -10 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 = -10 + 2.25 Reorder the terms: 2.25 + -3v + v2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + -3v + v2 = -7.75 Factor a perfect square on the left side: (v + -1.5)(v + -1.5) = -7.75 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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