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Simplifying 7v2 + -5v + -4 = -10 Reorder the terms: -4 + -5v + 7v2 = -10 Solving -4 + -5v + 7v2 = -10 Solving for variable 'v'. Reorder the terms: -4 + 10 + -5v + 7v2 = -10 + 10 Combine like terms: -4 + 10 = 6 6 + -5v + 7v2 = -10 + 10 Combine like terms: -10 + 10 = 0 6 + -5v + 7v2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.8571428571 + -0.7142857143v + v2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -0.7142857143v + -0.8571428571 + v2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -0.7142857143v + v2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -0.7142857143v + v2 = 0 + -0.8571428571 -0.7142857143v + v2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -0.7142857143v + v2 = -0.8571428571 The v term is -0.7142857143v. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143v + 0.1275510204 + v2 = -0.8571428571 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143v + v2 = -0.8571428571 + 0.1275510204 Combine like terms: -0.8571428571 + 0.1275510204 = -0.7295918367 0.1275510204 + -0.7142857143v + v2 = -0.7295918367 Factor a perfect square on the left side: (v + -0.3571428572)(v + -0.3571428572) = -0.7295918367 Can't calculate square root of the right side. The solution to this equation could not be determined.
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