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Simplifying 6v2 + -9v + 11 = 0 Reorder the terms: 11 + -9v + 6v2 = 0 Solving 11 + -9v + 6v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + -1.5v + v2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.5v + -1.833333333 + v2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.5v + v2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.5v + v2 = 0 + -1.833333333 -1.5v + v2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.5v + v2 = -1.833333333 The v term is -1.5v. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5v + 0.5625 + v2 = -1.833333333 + 0.5625 Reorder the terms: 0.5625 + -1.5v + v2 = -1.833333333 + 0.5625 Combine like terms: -1.833333333 + 0.5625 = -1.270833333 0.5625 + -1.5v + v2 = -1.270833333 Factor a perfect square on the left side: (v + -0.75)(v + -0.75) = -1.270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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