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Simplifying 3v2 + -4v + 9 = v + 2v2 Reorder the terms: 9 + -4v + 3v2 = v + 2v2 Solving 9 + -4v + 3v2 = v + 2v2 Solving for variable 'v'. Reorder the terms: 9 + -4v + -1v + 3v2 + -2v2 = v + 2v2 + -1v + -2v2 Combine like terms: -4v + -1v = -5v 9 + -5v + 3v2 + -2v2 = v + 2v2 + -1v + -2v2 Combine like terms: 3v2 + -2v2 = 1v2 9 + -5v + 1v2 = v + 2v2 + -1v + -2v2 Reorder the terms: 9 + -5v + 1v2 = v + -1v + 2v2 + -2v2 Combine like terms: v + -1v = 0 9 + -5v + 1v2 = 0 + 2v2 + -2v2 9 + -5v + 1v2 = 2v2 + -2v2 Combine like terms: 2v2 + -2v2 = 0 9 + -5v + 1v2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5v + -9 + v2 = 0 + -9 Reorder the terms: 9 + -9 + -5v + v2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v + v2 = 0 + -9 -5v + v2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5v + v2 = -9 The v term is -5v. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5v + 6.25 + v2 = -9 + 6.25 Reorder the terms: 6.25 + -5v + v2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + -5v + v2 = -2.75 Factor a perfect square on the left side: (v + -2.5)(v + -2.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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