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Simplifying 2v2 + -2v + 24 = v2 + 16 Reorder the terms: 24 + -2v + 2v2 = v2 + 16 Reorder the terms: 24 + -2v + 2v2 = 16 + v2 Solving 24 + -2v + 2v2 = 16 + v2 Solving for variable 'v'. Reorder the terms: 24 + -16 + -2v + 2v2 + -1v2 = 16 + v2 + -16 + -1v2 Combine like terms: 24 + -16 = 8 8 + -2v + 2v2 + -1v2 = 16 + v2 + -16 + -1v2 Combine like terms: 2v2 + -1v2 = 1v2 8 + -2v + 1v2 = 16 + v2 + -16 + -1v2 Reorder the terms: 8 + -2v + 1v2 = 16 + -16 + v2 + -1v2 Combine like terms: 16 + -16 = 0 8 + -2v + 1v2 = 0 + v2 + -1v2 8 + -2v + 1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 8 + -2v + 1v2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2v + -8 + v2 = 0 + -8 Reorder the terms: 8 + -8 + -2v + v2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2v + v2 = 0 + -8 -2v + v2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2v + v2 = -8 The v term is -2v. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2v + 1 + v2 = -8 + 1 Reorder the terms: 1 + -2v + v2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2v + v2 = -7 Factor a perfect square on the left side: (v + -1)(v + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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