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Simplifying (5v2 + -6v + 4) + (-1v2 + 7v + 3) = 0 Reorder the terms: (4 + -6v + 5v2) + (-1v2 + 7v + 3) = 0 Remove parenthesis around (4 + -6v + 5v2) 4 + -6v + 5v2 + (-1v2 + 7v + 3) = 0 Reorder the terms: 4 + -6v + 5v2 + (3 + 7v + -1v2) = 0 Remove parenthesis around (3 + 7v + -1v2) 4 + -6v + 5v2 + 3 + 7v + -1v2 = 0 Reorder the terms: 4 + 3 + -6v + 7v + 5v2 + -1v2 = 0 Combine like terms: 4 + 3 = 7 7 + -6v + 7v + 5v2 + -1v2 = 0 Combine like terms: -6v + 7v = 1v 7 + 1v + 5v2 + -1v2 = 0 Combine like terms: 5v2 + -1v2 = 4v2 7 + 1v + 4v2 = 0 Solving 7 + 1v + 4v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + 0.25v + v2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 0.25v + -1.75 + v2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 0.25v + v2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.25v + v2 = 0 + -1.75 0.25v + v2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 0.25v + v2 = -1.75 The v term is 0.25v. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25v + 0.015625 + v2 = -1.75 + 0.015625 Reorder the terms: 0.015625 + 0.25v + v2 = -1.75 + 0.015625 Combine like terms: -1.75 + 0.015625 = -1.734375 0.015625 + 0.25v + v2 = -1.734375 Factor a perfect square on the left side: (v + 0.125)(v + 0.125) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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