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Simplifying 20v2 + -39vw + 18w2 = 0 Reorder the terms: -39vw + 20v2 + 18w2 = 0 Solving -39vw + 20v2 + 18w2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + -6w)(4v + -3w) = 0Subproblem 1
Set the factor '(5v + -6w)' equal to zero and attempt to solve: Simplifying 5v + -6w = 0 Solving 5v + -6w = 0 Move all terms containing v to the left, all other terms to the right. Add '6w' to each side of the equation. 5v + -6w + 6w = 0 + 6w Combine like terms: -6w + 6w = 0 5v + 0 = 0 + 6w 5v = 0 + 6w Remove the zero: 5v = 6w Divide each side by '5'. v = 1.2w Simplifying v = 1.2wSubproblem 2
Set the factor '(4v + -3w)' equal to zero and attempt to solve: Simplifying 4v + -3w = 0 Solving 4v + -3w = 0 Move all terms containing v to the left, all other terms to the right. Add '3w' to each side of the equation. 4v + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 4v + 0 = 0 + 3w 4v = 0 + 3w Remove the zero: 4v = 3w Divide each side by '4'. v = 0.75w Simplifying v = 0.75wSolution
v = {1.2w, 0.75w}
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