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Simplifying 4v2 + 8v + 7 = 0 Reorder the terms: 7 + 8v + 4v2 = 0 Solving 7 + 8v + 4v2 = 0 Solving for variable 'v'. 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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