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Simplifying -4v2 + -8v + -47 = 0 Reorder the terms: -47 + -8v + -4v2 = 0 Solving -47 + -8v + -4v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '-1'. -1(47 + 8v + 4v2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(47 + 8v + 4v2)' equal to zero and attempt to solve: Simplifying 47 + 8v + 4v2 = 0 Solving 47 + 8v + 4v2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11.75 + 2v + v2 = 0 Move the constant term to the right: Add '-11.75' to each side of the equation. 11.75 + 2v + -11.75 + v2 = 0 + -11.75 Reorder the terms: 11.75 + -11.75 + 2v + v2 = 0 + -11.75 Combine like terms: 11.75 + -11.75 = 0.00 0.00 + 2v + v2 = 0 + -11.75 2v + v2 = 0 + -11.75 Combine like terms: 0 + -11.75 = -11.75 2v + v2 = -11.75 The v term is 2v. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2v + 1 + v2 = -11.75 + 1 Reorder the terms: 1 + 2v + v2 = -11.75 + 1 Combine like terms: -11.75 + 1 = -10.75 1 + 2v + v2 = -10.75 Factor a perfect square on the left side: (v + 1)(v + 1) = -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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