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Simplifying 7v + 11v2 + -18v2 + -16 + -3v + 8 = 0 Reorder the terms: -16 + 8 + 7v + -3v + 11v2 + -18v2 = 0 Combine like terms: -16 + 8 = -8 -8 + 7v + -3v + 11v2 + -18v2 = 0 Combine like terms: 7v + -3v = 4v -8 + 4v + 11v2 + -18v2 = 0 Combine like terms: 11v2 + -18v2 = -7v2 -8 + 4v + -7v2 = 0 Solving -8 + 4v + -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'. 1.142857143 + -0.5714285714v + v2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.5714285714v + -1.142857143 + v2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.5714285714v + v2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.5714285714v + v2 = 0 + -1.142857143 -0.5714285714v + v2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.5714285714v + v2 = -1.142857143 The v term is -0.5714285714v. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714v + 0.08163265305 + v2 = -1.142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714v + v2 = -1.142857143 + 0.08163265305 Combine like terms: -1.142857143 + 0.08163265305 = -1.06122448995 0.08163265305 + -0.5714285714v + v2 = -1.06122448995 Factor a perfect square on the left side: (v + -0.2857142857)(v + -0.2857142857) = -1.06122448995 Can't calculate square root of the right side. The solution to this equation could not be determined.
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