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Simplifying 7v2 + 14v + 8 = 0 Reorder the terms: 8 + 14v + 7v2 = 0 Solving 8 + 14v + 7v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 2v + v2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 2v + -1.142857143 + v2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 2v + v2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 2v + v2 = 0 + -1.142857143 2v + v2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 2v + v2 = -1.142857143 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 = -1.142857143 + 1 Reorder the terms: 1 + 2v + v2 = -1.142857143 + 1 Combine like terms: -1.142857143 + 1 = -0.142857143 1 + 2v + v2 = -0.142857143 Factor a perfect square on the left side: (v + 1)(v + 1) = -0.142857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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