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Simplifying 12v2 + 3 = 10v Reorder the terms: 3 + 12v2 = 10v Solving 3 + 12v2 = 10v Solving for variable 'v'. Reorder the terms: 3 + -10v + 12v2 = 10v + -10v Combine like terms: 10v + -10v = 0 3 + -10v + 12v2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + -0.8333333333v + v2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.8333333333v + -0.25 + v2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.8333333333v + v2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.8333333333v + v2 = 0 + -0.25 -0.8333333333v + v2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.8333333333v + v2 = -0.25 The v term is -0.8333333333v. Take half its coefficient (-0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. -0.8333333333v + 0.1736111111 + v2 = -0.25 + 0.1736111111 Reorder the terms: 0.1736111111 + -0.8333333333v + v2 = -0.25 + 0.1736111111 Combine like terms: -0.25 + 0.1736111111 = -0.0763888889 0.1736111111 + -0.8333333333v + v2 = -0.0763888889 Factor a perfect square on the left side: (v + -0.4166666667)(v + -0.4166666667) = -0.0763888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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