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Simplifying -2v2 + -1v + -15 = 0 Reorder the terms: -15 + -1v + -2v2 = 0 Solving -15 + -1v + -2v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + v + 2v2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + v + 2v2)' equal to zero and attempt to solve: Simplifying 15 + v + 2v2 = 0 Solving 15 + v + 2v2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 0.5v + v2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 0.5v + -7.5 + v2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 0.5v + v2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.5v + v2 = 0 + -7.5 0.5v + v2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 0.5v + v2 = -7.5 The v term is v. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.5v + 0.25 + v2 = -7.5 + 0.25 Reorder the terms: 0.25 + 0.5v + v2 = -7.5 + 0.25 Combine like terms: -7.5 + 0.25 = -7.25 0.25 + 0.5v + v2 = -7.25 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -7.25 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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