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Simplifying 30v2 + 25 + 36v + 30 = 0 Reorder the terms: 25 + 30 + 36v + 30v2 = 0 Combine like terms: 25 + 30 = 55 55 + 36v + 30v2 = 0 Solving 55 + 36v + 30v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 1.833333333 + 1.2v + v2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + 1.2v + -1.833333333 + v2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + 1.2v + v2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + 1.2v + v2 = 0 + -1.833333333 1.2v + v2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 1.2v + v2 = -1.833333333 The v term is 1.2v. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2v + 0.36 + v2 = -1.833333333 + 0.36 Reorder the terms: 0.36 + 1.2v + v2 = -1.833333333 + 0.36 Combine like terms: -1.833333333 + 0.36 = -1.473333333 0.36 + 1.2v + v2 = -1.473333333 Factor a perfect square on the left side: (v + 0.6)(v + 0.6) = -1.473333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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