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Simplifying 0 = v2 + -6v + 9 Reorder the terms: 0 = 9 + -6v + v2 Solving 0 = 9 + -6v + v2 Solving for variable 'v'. Combine like terms: 0 + -9 = -9 -9 + 6v + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2 Reorder the terms: -9 + 6v + -1v2 = 9 + -9 + -6v + 6v + v2 + -1v2 Combine like terms: 9 + -9 = 0 -9 + 6v + -1v2 = 0 + -6v + 6v + v2 + -1v2 -9 + 6v + -1v2 = -6v + 6v + v2 + -1v2 Combine like terms: -6v + 6v = 0 -9 + 6v + -1v2 = 0 + v2 + -1v2 -9 + 6v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -9 + 6v + -1v2 = 0 Factor a trinomial. (-3 + v)(3 + -1v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {3, 3}
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