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Simplifying v2 + -5v + 11 = (v + -2)(v + -6) Reorder the terms: 11 + -5v + v2 = (v + -2)(v + -6) Reorder the terms: 11 + -5v + v2 = (-2 + v)(v + -6) Reorder the terms: 11 + -5v + v2 = (-2 + v)(-6 + v) Multiply (-2 + v) * (-6 + v) 11 + -5v + v2 = (-2(-6 + v) + v(-6 + v)) 11 + -5v + v2 = ((-6 * -2 + v * -2) + v(-6 + v)) 11 + -5v + v2 = ((12 + -2v) + v(-6 + v)) 11 + -5v + v2 = (12 + -2v + (-6 * v + v * v)) 11 + -5v + v2 = (12 + -2v + (-6v + v2)) Combine like terms: -2v + -6v = -8v 11 + -5v + v2 = (12 + -8v + v2) Add '-1v2' to each side of the equation. 11 + -5v + v2 + -1v2 = 12 + -8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 11 + -5v + 0 = 12 + -8v + v2 + -1v2 11 + -5v = 12 + -8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 11 + -5v = 12 + -8v + 0 11 + -5v = 12 + -8v Solving 11 + -5v = 12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 11 + -5v + 8v = 12 + -8v + 8v Combine like terms: -5v + 8v = 3v 11 + 3v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 11 + 3v = 12 + 0 11 + 3v = 12 Add '-11' to each side of the equation. 11 + -11 + 3v = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 3v = 12 + -11 3v = 12 + -11 Combine like terms: 12 + -11 = 1 3v = 1 Divide each side by '3'. v = 0.3333333333 Simplifying v = 0.3333333333
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