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Simplifying 9v2 + 30vw + 25w2 = 0 Reorder the terms: 30vw + 9v2 + 25w2 = 0 Solving 30vw + 9v2 + 25w2 = 0 Solving for variable 'v'. Factor a trinomial. (3v + 5w)(3v + 5w) = 0Subproblem 1
Set the factor '(3v + 5w)' equal to zero and attempt to solve: Simplifying 3v + 5w = 0 Solving 3v + 5w = 0 Move all terms containing v to the left, all other terms to the right. Add '-5w' to each side of the equation. 3v + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 3v + 0 = 0 + -5w 3v = 0 + -5w Remove the zero: 3v = -5w Divide each side by '3'. v = -1.666666667w Simplifying v = -1.666666667wSubproblem 2
Set the factor '(3v + 5w)' equal to zero and attempt to solve: Simplifying 3v + 5w = 0 Solving 3v + 5w = 0 Move all terms containing v to the left, all other terms to the right. Add '-5w' to each side of the equation. 3v + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 3v + 0 = 0 + -5w 3v = 0 + -5w Remove the zero: 3v = -5w Divide each side by '3'. v = -1.666666667w Simplifying v = -1.666666667wSolution
v = {-1.666666667w, -1.666666667w}
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