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Simplifying 4v7 + -16v6 + 56v5 = 0 Reorder the terms: 56v5 + -16v6 + 4v7 = 0 Solving 56v5 + -16v6 + 4v7 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4v5'. 4v5(14 + -4v + v2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'v5' equal to zero and attempt to solve: Simplifying v5 = 0 Solving v5 = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v5 = 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 '(14 + -4v + v2)' equal to zero and attempt to solve: Simplifying 14 + -4v + v2 = 0 Solving 14 + -4v + v2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -4v + -14 + v2 = 0 + -14 Reorder the terms: 14 + -14 + -4v + v2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4v + v2 = 0 + -14 -4v + v2 = 0 + -14 Combine like terms: 0 + -14 = -14 -4v + v2 = -14 The v term is -4v. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4v + 4 + v2 = -14 + 4 Reorder the terms: 4 + -4v + v2 = -14 + 4 Combine like terms: -14 + 4 = -10 4 + -4v + v2 = -10 Factor a perfect square on the left side: (v + -2)(v + -2) = -10 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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