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Simplifying -11 = -1 + -2v2 + -1v Reorder the terms: -11 = -1 + -1v + -2v2 Solving -11 = -1 + -1v + -2v2 Solving for variable 'v'. Combine like terms: -11 + 1 = -10 -10 + v + 2v2 = -1 + -1v + -2v2 + 1 + v + 2v2 Reorder the terms: -10 + v + 2v2 = -1 + 1 + -1v + v + -2v2 + 2v2 Combine like terms: -1 + 1 = 0 -10 + v + 2v2 = 0 + -1v + v + -2v2 + 2v2 -10 + v + 2v2 = -1v + v + -2v2 + 2v2 Combine like terms: -1v + v = 0 -10 + v + 2v2 = 0 + -2v2 + 2v2 -10 + v + 2v2 = -2v2 + 2v2 Combine like terms: -2v2 + 2v2 = 0 -10 + v + 2v2 = 0 Factor a trinomial. (-5 + -2v)(2 + -1v) = 0Subproblem 1
Set the factor '(-5 + -2v)' equal to zero and attempt to solve: Simplifying -5 + -2v = 0 Solving -5 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2v = 0 + 5 -2v = 0 + 5 Combine like terms: 0 + 5 = 5 -2v = 5 Divide each side by '-2'. v = -2.5 Simplifying v = -2.5Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-2.5, 2}
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