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Simplifying 2v2 + -16v + 25 = v2 + -49 Reorder the terms: 25 + -16v + 2v2 = v2 + -49 Reorder the terms: 25 + -16v + 2v2 = -49 + v2 Solving 25 + -16v + 2v2 = -49 + v2 Solving for variable 'v'. Reorder the terms: 25 + 49 + -16v + 2v2 + -1v2 = -49 + v2 + 49 + -1v2 Combine like terms: 25 + 49 = 74 74 + -16v + 2v2 + -1v2 = -49 + v2 + 49 + -1v2 Combine like terms: 2v2 + -1v2 = 1v2 74 + -16v + 1v2 = -49 + v2 + 49 + -1v2 Reorder the terms: 74 + -16v + 1v2 = -49 + 49 + v2 + -1v2 Combine like terms: -49 + 49 = 0 74 + -16v + 1v2 = 0 + v2 + -1v2 74 + -16v + 1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 74 + -16v + 1v2 = 0 Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + -16v + -74 + v2 = 0 + -74 Reorder the terms: 74 + -74 + -16v + v2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -16v + v2 = 0 + -74 -16v + v2 = 0 + -74 Combine like terms: 0 + -74 = -74 -16v + v2 = -74 The v term is -16v. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16v + 64 + v2 = -74 + 64 Reorder the terms: 64 + -16v + v2 = -74 + 64 Combine like terms: -74 + 64 = -10 64 + -16v + v2 = -10 Factor a perfect square on the left side: (v + -8)(v + -8) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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