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Simplifying 11v2 = -8 + 8v Solving 11v2 = -8 + 8v Solving for variable 'v'. Reorder the terms: 8 + -8v + 11v2 = -8 + 8v + 8 + -8v Reorder the terms: 8 + -8v + 11v2 = -8 + 8 + 8v + -8v Combine like terms: -8 + 8 = 0 8 + -8v + 11v2 = 0 + 8v + -8v 8 + -8v + 11v2 = 8v + -8v Combine like terms: 8v + -8v = 0 8 + -8v + 11v2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.7272727273 + -0.7272727273v + v2 = 0 Move the constant term to the right: Add '-0.7272727273' to each side of the equation. 0.7272727273 + -0.7272727273v + -0.7272727273 + v2 = 0 + -0.7272727273 Reorder the terms: 0.7272727273 + -0.7272727273 + -0.7272727273v + v2 = 0 + -0.7272727273 Combine like terms: 0.7272727273 + -0.7272727273 = 0.0000000000 0.0000000000 + -0.7272727273v + v2 = 0 + -0.7272727273 -0.7272727273v + v2 = 0 + -0.7272727273 Combine like terms: 0 + -0.7272727273 = -0.7272727273 -0.7272727273v + v2 = -0.7272727273 The v term is -0.7272727273v. Take half its coefficient (-0.3636363637). Square it (0.1322314050) and add it to both sides. Add '0.1322314050' to each side of the equation. -0.7272727273v + 0.1322314050 + v2 = -0.7272727273 + 0.1322314050 Reorder the terms: 0.1322314050 + -0.7272727273v + v2 = -0.7272727273 + 0.1322314050 Combine like terms: -0.7272727273 + 0.1322314050 = -0.5950413223 0.1322314050 + -0.7272727273v + v2 = -0.5950413223 Factor a perfect square on the left side: (v + -0.3636363637)(v + -0.3636363637) = -0.5950413223 Can't calculate square root of the right side. The solution to this equation could not be determined.
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