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Simplifying 11v2 + -7v + 19 = 9 Reorder the terms: 19 + -7v + 11v2 = 9 Solving 19 + -7v + 11v2 = 9 Solving for variable 'v'. Reorder the terms: 19 + -9 + -7v + 11v2 = 9 + -9 Combine like terms: 19 + -9 = 10 10 + -7v + 11v2 = 9 + -9 Combine like terms: 9 + -9 = 0 10 + -7v + 11v2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.9090909091 + -0.6363636364v + v2 = 0 Move the constant term to the right: Add '-0.9090909091' to each side of the equation. 0.9090909091 + -0.6363636364v + -0.9090909091 + v2 = 0 + -0.9090909091 Reorder the terms: 0.9090909091 + -0.9090909091 + -0.6363636364v + v2 = 0 + -0.9090909091 Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000 0.0000000000 + -0.6363636364v + v2 = 0 + -0.9090909091 -0.6363636364v + v2 = 0 + -0.9090909091 Combine like terms: 0 + -0.9090909091 = -0.9090909091 -0.6363636364v + v2 = -0.9090909091 The v term is -0.6363636364v. Take half its coefficient (-0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. -0.6363636364v + 0.1012396694 + v2 = -0.9090909091 + 0.1012396694 Reorder the terms: 0.1012396694 + -0.6363636364v + v2 = -0.9090909091 + 0.1012396694 Combine like terms: -0.9090909091 + 0.1012396694 = -0.8078512397 0.1012396694 + -0.6363636364v + v2 = -0.8078512397 Factor a perfect square on the left side: (v + -0.3181818182)(v + -0.3181818182) = -0.8078512397 Can't calculate square root of the right side. The solution to this equation could not be determined.
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