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Simplifying 0 = -4v2 + 8v + -7 Reorder the terms: 0 = -7 + 8v + -4v2 Solving 0 = -7 + 8v + -4v2 Solving for variable 'v'. Combine like terms: 0 + 7 = 7 7 + -8v + 4v2 = -7 + 8v + -4v2 + 7 + -8v + 4v2 Reorder the terms: 7 + -8v + 4v2 = -7 + 7 + 8v + -8v + -4v2 + 4v2 Combine like terms: -7 + 7 = 0 7 + -8v + 4v2 = 0 + 8v + -8v + -4v2 + 4v2 7 + -8v + 4v2 = 8v + -8v + -4v2 + 4v2 Combine like terms: 8v + -8v = 0 7 + -8v + 4v2 = 0 + -4v2 + 4v2 7 + -8v + 4v2 = -4v2 + 4v2 Combine like terms: -4v2 + 4v2 = 0 7 + -8v + 4v2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -2v + v2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -2v + -1.75 + v2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -2v + v2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -2v + v2 = 0 + -1.75 -2v + v2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -2v + v2 = -1.75 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 = -1.75 + 1 Reorder the terms: 1 + -2v + v2 = -1.75 + 1 Combine like terms: -1.75 + 1 = -0.75 1 + -2v + v2 = -0.75 Factor a perfect square on the left side: (v + -1)(v + -1) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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