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Simplifying (2v + 11)(2v + 11) = 0 Reorder the terms: (11 + 2v)(2v + 11) = 0 Reorder the terms: (11 + 2v)(11 + 2v) = 0 Multiply (11 + 2v) * (11 + 2v) (11(11 + 2v) + 2v * (11 + 2v)) = 0 ((11 * 11 + 2v * 11) + 2v * (11 + 2v)) = 0 ((121 + 22v) + 2v * (11 + 2v)) = 0 (121 + 22v + (11 * 2v + 2v * 2v)) = 0 (121 + 22v + (22v + 4v2)) = 0 Combine like terms: 22v + 22v = 44v (121 + 44v + 4v2) = 0 Solving 121 + 44v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (11 + 2v)(11 + 2v) = 0Subproblem 1
Set the factor '(11 + 2v)' equal to zero and attempt to solve: Simplifying 11 + 2v = 0 Solving 11 + 2v = 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 + 2v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2v = 0 + -11 2v = 0 + -11 Combine like terms: 0 + -11 = -11 2v = -11 Divide each side by '2'. v = -5.5 Simplifying v = -5.5Subproblem 2
Set the factor '(11 + 2v)' equal to zero and attempt to solve: Simplifying 11 + 2v = 0 Solving 11 + 2v = 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 + 2v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2v = 0 + -11 2v = 0 + -11 Combine like terms: 0 + -11 = -11 2v = -11 Divide each side by '2'. v = -5.5 Simplifying v = -5.5Solution
v = {-5.5, -5.5}
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