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Simplifying 9w2 + -30wv + 25v2 = 0 Reorder the terms: -30vw + 25v2 + 9w2 = 0 Solving -30vw + 25v2 + 9w2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + -3w)(5v + -3w) = 0Subproblem 1
Set the factor '(5v + -3w)' equal to zero and attempt to solve: Simplifying 5v + -3w = 0 Solving 5v + -3w = 0 Move all terms containing v to the left, all other terms to the right. Add '3w' to each side of the equation. 5v + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 5v + 0 = 0 + 3w 5v = 0 + 3w Remove the zero: 5v = 3w Divide each side by '5'. v = 0.6w Simplifying v = 0.6wSubproblem 2
Set the factor '(5v + -3w)' equal to zero and attempt to solve: Simplifying 5v + -3w = 0 Solving 5v + -3w = 0 Move all terms containing v to the left, all other terms to the right. Add '3w' to each side of the equation. 5v + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 5v + 0 = 0 + 3w 5v = 0 + 3w Remove the zero: 5v = 3w Divide each side by '5'. v = 0.6w Simplifying v = 0.6wSolution
v = {0.6w, 0.6w}
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