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Simplifying -4v2 + v + 2 = 8 Reorder the terms: 2 + v + -4v2 = 8 Solving 2 + v + -4v2 = 8 Solving for variable 'v'. Reorder the terms: 2 + -8 + v + -4v2 = 8 + -8 Combine like terms: 2 + -8 = -6 -6 + v + -4v2 = 8 + -8 Combine like terms: 8 + -8 = 0 -6 + v + -4v2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.5 + -0.25v + v2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.25v + -1.5 + v2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.25v + v2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.25v + v2 = 0 + -1.5 -0.25v + v2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.25v + v2 = -1.5 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. -0.25v + 0.25 + v2 = -1.5 + 0.25 Reorder the terms: 0.25 + -0.25v + v2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + -0.25v + v2 = -1.25 Factor a perfect square on the left side: (v + 0.5)(v + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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