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Simplifying 10v2 + -6v + 9 = 0 Reorder the terms: 9 + -6v + 10v2 = 0 Solving 9 + -6v + 10v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + -0.6v + v2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.6v + -0.9 + v2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.6v + v2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.6v + v2 = 0 + -0.9 -0.6v + v2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -0.6v + v2 = -0.9 The v term is -0.6v. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6v + 0.09 + v2 = -0.9 + 0.09 Reorder the terms: 0.09 + -0.6v + v2 = -0.9 + 0.09 Combine like terms: -0.9 + 0.09 = -0.81 0.09 + -0.6v + v2 = -0.81 Factor a perfect square on the left side: (v + -0.3)(v + -0.3) = -0.81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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