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Simplifying 20s2 + -23sw + 6w2 = 0 Reorder the terms: -23sw + 20s2 + 6w2 = 0 Solving -23sw + 20s2 + 6w2 = 0 Solving for variable 's'. Factor a trinomial. (4s + -3w)(5s + -2w) = 0Subproblem 1
Set the factor '(4s + -3w)' equal to zero and attempt to solve: Simplifying 4s + -3w = 0 Solving 4s + -3w = 0 Move all terms containing s to the left, all other terms to the right. Add '3w' to each side of the equation. 4s + -3w + 3w = 0 + 3w Combine like terms: -3w + 3w = 0 4s + 0 = 0 + 3w 4s = 0 + 3w Remove the zero: 4s = 3w Divide each side by '4'. s = 0.75w Simplifying s = 0.75wSubproblem 2
Set the factor '(5s + -2w)' equal to zero and attempt to solve: Simplifying 5s + -2w = 0 Solving 5s + -2w = 0 Move all terms containing s to the left, all other terms to the right. Add '2w' to each side of the equation. 5s + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 5s + 0 = 0 + 2w 5s = 0 + 2w Remove the zero: 5s = 2w Divide each side by '5'. s = 0.4w Simplifying s = 0.4wSolution
s = {0.75w, 0.4w}
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