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Simplifying v2 + -155v + 7500 = 0 Reorder the terms: 7500 + -155v + v2 = 0 Solving 7500 + -155v + v2 = 0 Solving for variable 'v'. Begin completing the square. Move the constant term to the right: Add '-7500' to each side of the equation. 7500 + -155v + -7500 + v2 = 0 + -7500 Reorder the terms: 7500 + -7500 + -155v + v2 = 0 + -7500 Combine like terms: 7500 + -7500 = 0 0 + -155v + v2 = 0 + -7500 -155v + v2 = 0 + -7500 Combine like terms: 0 + -7500 = -7500 -155v + v2 = -7500 The v term is -155v. Take half its coefficient (-77.5). Square it (6006.25) and add it to both sides. Add '6006.25' to each side of the equation. -155v + 6006.25 + v2 = -7500 + 6006.25 Reorder the terms: 6006.25 + -155v + v2 = -7500 + 6006.25 Combine like terms: -7500 + 6006.25 = -1493.75 6006.25 + -155v + v2 = -1493.75 Factor a perfect square on the left side: (v + -77.5)(v + -77.5) = -1493.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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