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Simplifying 0 = 0.0029v2 + -0.48v + 142 Reorder the terms: 0 = 142 + -0.48v + 0.0029v2 Solving 0 = 142 + -0.48v + 0.0029v2 Solving for variable 'v'. Combine like terms: 0 + -142 = -142 -142 + 0.48v + -0.0029v2 = 142 + -0.48v + 0.0029v2 + -142 + 0.48v + -0.0029v2 Reorder the terms: -142 + 0.48v + -0.0029v2 = 142 + -142 + -0.48v + 0.48v + 0.0029v2 + -0.0029v2 Combine like terms: 142 + -142 = 0 -142 + 0.48v + -0.0029v2 = 0 + -0.48v + 0.48v + 0.0029v2 + -0.0029v2 -142 + 0.48v + -0.0029v2 = -0.48v + 0.48v + 0.0029v2 + -0.0029v2 Combine like terms: -0.48v + 0.48v = 0.00 -142 + 0.48v + -0.0029v2 = 0.00 + 0.0029v2 + -0.0029v2 -142 + 0.48v + -0.0029v2 = 0.0029v2 + -0.0029v2 Combine like terms: 0.0029v2 + -0.0029v2 = 0.0000 -142 + 0.48v + -0.0029v2 = 0.0000 Begin completing the square. Divide all terms by -0.0029 the coefficient of the squared term: Divide each side by '-0.0029'. 48965.51724 + -165.5172414v + v2 = 0 Move the constant term to the right: Add '-48965.51724' to each side of the equation. 48965.51724 + -165.5172414v + -48965.51724 + v2 = 0 + -48965.51724 Reorder the terms: 48965.51724 + -48965.51724 + -165.5172414v + v2 = 0 + -48965.51724 Combine like terms: 48965.51724 + -48965.51724 = 0.00000 0.00000 + -165.5172414v + v2 = 0 + -48965.51724 -165.5172414v + v2 = 0 + -48965.51724 Combine like terms: 0 + -48965.51724 = -48965.51724 -165.5172414v + v2 = -48965.51724 The v term is -165.5172414v. Take half its coefficient (-82.7586207). Square it (6848.989300) and add it to both sides. Add '6848.989300' to each side of the equation. -165.5172414v + 6848.989300 + v2 = -48965.51724 + 6848.989300 Reorder the terms: 6848.989300 + -165.5172414v + v2 = -48965.51724 + 6848.989300 Combine like terms: -48965.51724 + 6848.989300 = -42116.52794 6848.989300 + -165.5172414v + v2 = -42116.52794 Factor a perfect square on the left side: (v + -82.7586207)(v + -82.7586207) = -42116.52794 Can't calculate square root of the right side. The solution to this equation could not be determined.
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