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Simplifying -1v2 = 121 + -22v Solving -1v2 = 121 + -22v Solving for variable 'v'. Reorder the terms: -121 + 22v + -1v2 = 121 + -22v + -121 + 22v Reorder the terms: -121 + 22v + -1v2 = 121 + -121 + -22v + 22v Combine like terms: 121 + -121 = 0 -121 + 22v + -1v2 = 0 + -22v + 22v -121 + 22v + -1v2 = -22v + 22v Combine like terms: -22v + 22v = 0 -121 + 22v + -1v2 = 0 Factor a trinomial. (-11 + v)(11 + -1v) = 0Subproblem 1
Set the factor '(-11 + v)' equal to zero and attempt to solve: Simplifying -11 + v = 0 Solving -11 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + v = 0 + 11 Combine like terms: -11 + 11 = 0 0 + v = 0 + 11 v = 0 + 11 Combine like terms: 0 + 11 = 11 v = 11 Simplifying v = 11Subproblem 2
Set the factor '(11 + -1v)' equal to zero and attempt to solve: Simplifying 11 + -1v = 0 Solving 11 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1v = 0 + -11 -1v = 0 + -11 Combine like terms: 0 + -11 = -11 -1v = -11 Divide each side by '-1'. v = 11 Simplifying v = 11Solution
v = {11, 11}
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