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Simplifying -1v2 + 6.5v = 100 Reorder the terms: 6.5v + -1v2 = 100 Solving 6.5v + -1v2 = 100 Solving for variable 'v'. Reorder the terms: -100 + 6.5v + -1v2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 6.5v + -1v2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 100 + -6.5v + v2 = 0 Move the constant term to the right: Add '-100' to each side of the equation. 100 + -6.5v + -100 + v2 = 0 + -100 Reorder the terms: 100 + -100 + -6.5v + v2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -6.5v + v2 = 0 + -100 -6.5v + v2 = 0 + -100 Combine like terms: 0 + -100 = -100 -6.5v + v2 = -100 The v term is -6.5v. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5v + 10.5625 + v2 = -100 + 10.5625 Reorder the terms: 10.5625 + -6.5v + v2 = -100 + 10.5625 Combine like terms: -100 + 10.5625 = -89.4375 10.5625 + -6.5v + v2 = -89.4375 Factor a perfect square on the left side: (v + -3.25)(v + -3.25) = -89.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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