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Simplifying 9v2 + -4v = -9 Reorder the terms: -4v + 9v2 = -9 Solving -4v + 9v2 = -9 Solving for variable 'v'. Reorder the terms: 9 + -4v + 9v2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -4v + 9v2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1 + -0.4444444444v + v2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.4444444444v + -1 + v2 = 0 + -1 Reorder the terms: 1 + -1 + -0.4444444444v + v2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4444444444v + v2 = 0 + -1 -0.4444444444v + v2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4444444444v + v2 = -1 The v term is -0.4444444444v. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444v + 0.04938271604 + v2 = -1 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444v + v2 = -1 + 0.04938271604 Combine like terms: -1 + 0.04938271604 = -0.95061728396 0.04938271604 + -0.4444444444v + v2 = -0.95061728396 Factor a perfect square on the left side: (v + -0.2222222222)(v + -0.2222222222) = -0.95061728396 Can't calculate square root of the right side. The solution to this equation could not be determined.
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