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Simplifying v2 + -11vw + 30w2 = 0 Reorder the terms: -11vw + v2 + 30w2 = 0 Solving -11vw + v2 + 30w2 = 0 Solving for variable 'v'. Factor a trinomial. (v + -6w)(v + -5w) = 0Subproblem 1
Set the factor '(v + -6w)' equal to zero and attempt to solve: Simplifying v + -6w = 0 Solving v + -6w = 0 Move all terms containing v to the left, all other terms to the right. Add '6w' to each side of the equation. v + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 v + 0 = 0 + 6w v = 0 + 6w Remove the zero: v = 6w Simplifying v = 6wSubproblem 2
Set the factor '(v + -5w)' equal to zero and attempt to solve: Simplifying v + -5w = 0 Solving v + -5w = 0 Move all terms containing v to the left, all other terms to the right. Add '5w' to each side of the equation. v + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 v + 0 = 0 + 5w v = 0 + 5w Remove the zero: v = 5w Simplifying v = 5wSolution
v = {6w, 5w}
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