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Simplifying 0 = v2 + -19v + 18 Reorder the terms: 0 = 18 + -19v + v2 Solving 0 = 18 + -19v + v2 Solving for variable 'v'. Combine like terms: 0 + -18 = -18 -18 + 19v + -1v2 = 18 + -19v + v2 + -18 + 19v + -1v2 Reorder the terms: -18 + 19v + -1v2 = 18 + -18 + -19v + 19v + v2 + -1v2 Combine like terms: 18 + -18 = 0 -18 + 19v + -1v2 = 0 + -19v + 19v + v2 + -1v2 -18 + 19v + -1v2 = -19v + 19v + v2 + -1v2 Combine like terms: -19v + 19v = 0 -18 + 19v + -1v2 = 0 + v2 + -1v2 -18 + 19v + -1v2 = v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -18 + 19v + -1v2 = 0 Factor a trinomial. (-18 + v)(1 + -1v) = 0Subproblem 1
Set the factor '(-18 + v)' equal to zero and attempt to solve: Simplifying -18 + v = 0 Solving -18 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + v = 0 + 18 Combine like terms: -18 + 18 = 0 0 + v = 0 + 18 v = 0 + 18 Combine like terms: 0 + 18 = 18 v = 18 Simplifying v = 18Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {18, 1}
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