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Simplifying -1v2 = 81 + -18v Solving -1v2 = 81 + -18v Solving for variable 'v'. Reorder the terms: -81 + 18v + -1v2 = 81 + -18v + -81 + 18v Reorder the terms: -81 + 18v + -1v2 = 81 + -81 + -18v + 18v Combine like terms: 81 + -81 = 0 -81 + 18v + -1v2 = 0 + -18v + 18v -81 + 18v + -1v2 = -18v + 18v Combine like terms: -18v + 18v = 0 -81 + 18v + -1v2 = 0 Factor a trinomial. (-9 + v)(9 + -1v) = 0Subproblem 1
Set the factor '(-9 + v)' equal to zero and attempt to solve: Simplifying -9 + v = 0 Solving -9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + v = 0 + 9 v = 0 + 9 Combine like terms: 0 + 9 = 9 v = 9 Simplifying v = 9Subproblem 2
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Solution
v = {9, 9}
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