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Simplifying 20v2 + 17vw + -63w2 = 0 Reorder the terms: 17vw + 20v2 + -63w2 = 0 Solving 17vw + 20v2 + -63w2 = 0 Solving for variable 'v'. Factor a trinomial. (5v + -7w)(4v + 9w) = 0Subproblem 1
Set the factor '(5v + -7w)' equal to zero and attempt to solve: Simplifying 5v + -7w = 0 Solving 5v + -7w = 0 Move all terms containing v to the left, all other terms to the right. Add '7w' to each side of the equation. 5v + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 5v + 0 = 0 + 7w 5v = 0 + 7w Remove the zero: 5v = 7w Divide each side by '5'. v = 1.4w Simplifying v = 1.4wSubproblem 2
Set the factor '(4v + 9w)' equal to zero and attempt to solve: Simplifying 4v + 9w = 0 Solving 4v + 9w = 0 Move all terms containing v to the left, all other terms to the right. Add '-9w' to each side of the equation. 4v + 9w + -9w = 0 + -9w Combine like terms: 9w + -9w = 0 4v + 0 = 0 + -9w 4v = 0 + -9w Remove the zero: 4v = -9w Divide each side by '4'. v = -2.25w Simplifying v = -2.25wSolution
v = {1.4w, -2.25w}
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