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Simplifying -8v2 + -5v + -4 = 0 Reorder the terms: -4 + -5v + -8v2 = 0 Solving -4 + -5v + -8v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 5v + 8v2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 5v + 8v2)' equal to zero and attempt to solve: Simplifying 4 + 5v + 8v2 = 0 Solving 4 + 5v + 8v2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + 0.625v + v2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.625v + -0.5 + v2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.625v + v2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.625v + v2 = 0 + -0.5 0.625v + v2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.625v + v2 = -0.5 The v term is 0.625v. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625v + 0.09765625 + v2 = -0.5 + 0.09765625 Reorder the terms: 0.09765625 + 0.625v + v2 = -0.5 + 0.09765625 Combine like terms: -0.5 + 0.09765625 = -0.40234375 0.09765625 + 0.625v + v2 = -0.40234375 Factor a perfect square on the left side: (v + 0.3125)(v + 0.3125) = -0.40234375 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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