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Simplifying (-9v2 + 8v + -5) + -1(4v2 + -3v + -7) + (-7v2 + -7v + -9) = 0 Reorder the terms: (-5 + 8v + -9v2) + -1(4v2 + -3v + -7) + (-7v2 + -7v + -9) = 0 Remove parenthesis around (-5 + 8v + -9v2) -5 + 8v + -9v2 + -1(4v2 + -3v + -7) + (-7v2 + -7v + -9) = 0 Reorder the terms: -5 + 8v + -9v2 + -1(-7 + -3v + 4v2) + (-7v2 + -7v + -9) = 0 -5 + 8v + -9v2 + (-7 * -1 + -3v * -1 + 4v2 * -1) + (-7v2 + -7v + -9) = 0 -5 + 8v + -9v2 + (7 + 3v + -4v2) + (-7v2 + -7v + -9) = 0 Reorder the terms: -5 + 8v + -9v2 + 7 + 3v + -4v2 + (-9 + -7v + -7v2) = 0 Remove parenthesis around (-9 + -7v + -7v2) -5 + 8v + -9v2 + 7 + 3v + -4v2 + -9 + -7v + -7v2 = 0 Reorder the terms: -5 + 7 + -9 + 8v + 3v + -7v + -9v2 + -4v2 + -7v2 = 0 Combine like terms: -5 + 7 = 2 2 + -9 + 8v + 3v + -7v + -9v2 + -4v2 + -7v2 = 0 Combine like terms: 2 + -9 = -7 -7 + 8v + 3v + -7v + -9v2 + -4v2 + -7v2 = 0 Combine like terms: 8v + 3v = 11v -7 + 11v + -7v + -9v2 + -4v2 + -7v2 = 0 Combine like terms: 11v + -7v = 4v -7 + 4v + -9v2 + -4v2 + -7v2 = 0 Combine like terms: -9v2 + -4v2 = -13v2 -7 + 4v + -13v2 + -7v2 = 0 Combine like terms: -13v2 + -7v2 = -20v2 -7 + 4v + -20v2 = 0 Solving -7 + 4v + -20v2 = 0 Solving for variable 'v'. Begin completing the square. Divide all terms by -20 the coefficient of the squared term: Divide each side by '-20'. 0.35 + -0.2v + v2 = 0.0 Move the constant term to the right: Add '-0.35' to each side of the equation. 0.35 + -0.2v + -0.35 + v2 = 0.0 + -0.35 Reorder the terms: 0.35 + -0.35 + -0.2v + v2 = 0.0 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + -0.2v + v2 = 0.0 + -0.35 -0.2v + v2 = 0.0 + -0.35 Combine like terms: 0.0 + -0.35 = -0.35 -0.2v + v2 = -0.35 The v term is -0.2v. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2v + 0.01 + v2 = -0.35 + 0.01 Reorder the terms: 0.01 + -0.2v + v2 = -0.35 + 0.01 Combine like terms: -0.35 + 0.01 = -0.34 0.01 + -0.2v + v2 = -0.34 Factor a perfect square on the left side: (v + -0.1)(v + -0.1) = -0.34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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