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Simplifying 18s2 + -33sw + 14w2 = 0 Reorder the terms: -33sw + 18s2 + 14w2 = 0 Solving -33sw + 18s2 + 14w2 = 0 Solving for variable 's'. Factor a trinomial. (6s + -7w)(3s + -2w) = 0Subproblem 1
Set the factor '(6s + -7w)' equal to zero and attempt to solve: Simplifying 6s + -7w = 0 Solving 6s + -7w = 0 Move all terms containing s to the left, all other terms to the right. Add '7w' to each side of the equation. 6s + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 6s + 0 = 0 + 7w 6s = 0 + 7w Remove the zero: 6s = 7w Divide each side by '6'. s = 1.166666667w Simplifying s = 1.166666667wSubproblem 2
Set the factor '(3s + -2w)' equal to zero and attempt to solve: Simplifying 3s + -2w = 0 Solving 3s + -2w = 0 Move all terms containing s to the left, all other terms to the right. Add '2w' to each side of the equation. 3s + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3s + 0 = 0 + 2w 3s = 0 + 2w Remove the zero: 3s = 2w Divide each side by '3'. s = 0.6666666667w Simplifying s = 0.6666666667wSolution
s = {1.166666667w, 0.6666666667w}
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