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Simplifying (5v2 + 3v + -3) + 1(v2 + -4v + 8) = 0 Reorder the terms: (-3 + 3v + 5v2) + 1(v2 + -4v + 8) = 0 Remove parenthesis around (-3 + 3v + 5v2) -3 + 3v + 5v2 + 1(v2 + -4v + 8) = 0 Reorder the terms: -3 + 3v + 5v2 + 1(8 + -4v + v2) = 0 -3 + 3v + 5v2 + (8 * 1 + -4v * 1 + v2 * 1) = 0 -3 + 3v + 5v2 + (8 + -4v + 1v2) = 0 Reorder the terms: -3 + 8 + 3v + -4v + 5v2 + 1v2 = 0 Combine like terms: -3 + 8 = 5 5 + 3v + -4v + 5v2 + 1v2 = 0 Combine like terms: 3v + -4v = -1v 5 + -1v + 5v2 + 1v2 = 0 Combine like terms: 5v2 + 1v2 = 6v2 5 + -1v + 6v2 = 0 Solving 5 + -1v + 6v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + -0.1666666667v + v2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.1666666667v + -0.8333333333 + v2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.1666666667v + v2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.1666666667v + v2 = 0 + -0.8333333333 -0.1666666667v + v2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.1666666667v + v2 = -0.8333333333 The v term is -0.1666666667v. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667v + 0.006944444447 + v2 = -0.8333333333 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667v + v2 = -0.8333333333 + 0.006944444447 Combine like terms: -0.8333333333 + 0.006944444447 = -0.826388888853 0.006944444447 + -0.1666666667v + v2 = -0.826388888853 Factor a perfect square on the left side: (v + -0.08333333335)(v + -0.08333333335) = -0.826388888853 Can't calculate square root of the right side. The solution to this equation could not be determined.
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