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Simplifying 2v2 + 11vw + -63w2 = 0 Reorder the terms: 11vw + 2v2 + -63w2 = 0 Solving 11vw + 2v2 + -63w2 = 0 Solving for variable 'v'. Factor a trinomial. (2v + -7w)(v + 9w) = 0Subproblem 1
Set the factor '(2v + -7w)' equal to zero and attempt to solve: Simplifying 2v + -7w = 0 Solving 2v + -7w = 0 Move all terms containing v to the left, all other terms to the right. Add '7w' to each side of the equation. 2v + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 2v + 0 = 0 + 7w 2v = 0 + 7w Remove the zero: 2v = 7w Divide each side by '2'. v = 3.5w Simplifying v = 3.5wSubproblem 2
Set the factor '(v + 9w)' equal to zero and attempt to solve: Simplifying v + 9w = 0 Solving v + 9w = 0 Move all terms containing v to the left, all other terms to the right. Add '-9w' to each side of the equation. v + 9w + -9w = 0 + -9w Combine like terms: 9w + -9w = 0 v + 0 = 0 + -9w v = 0 + -9w Remove the zero: v = -9w Simplifying v = -9wSolution
v = {3.5w, -9w}
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