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Simplifying 7v2 + -12v + 6 = 0 Reorder the terms: 6 + -12v + 7v2 = 0 Solving 6 + -12v + 7v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + -1.714285714v + v2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -1.714285714v + -0.8571428571 + v2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -1.714285714v + v2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -1.714285714v + v2 = 0 + -0.8571428571 -1.714285714v + v2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -1.714285714v + v2 = -0.8571428571 The v term is -1.714285714v. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714v + 0.7346938773 + v2 = -0.8571428571 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714v + v2 = -0.8571428571 + 0.7346938773 Combine like terms: -0.8571428571 + 0.7346938773 = -0.1224489798 0.7346938773 + -1.714285714v + v2 = -0.1224489798 Factor a perfect square on the left side: (v + -0.857142857)(v + -0.857142857) = -0.1224489798 Can't calculate square root of the right side. The solution to this equation could not be determined.
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