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Simplifying 10s2 + -33sw + 20w2 = 0 Reorder the terms: -33sw + 10s2 + 20w2 = 0 Solving -33sw + 10s2 + 20w2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -5w)(5s + -4w) = 0Subproblem 1
Set the factor '(2s + -5w)' equal to zero and attempt to solve: Simplifying 2s + -5w = 0 Solving 2s + -5w = 0 Move all terms containing s to the left, all other terms to the right. Add '5w' to each side of the equation. 2s + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 2s + 0 = 0 + 5w 2s = 0 + 5w Remove the zero: 2s = 5w Divide each side by '2'. s = 2.5w Simplifying s = 2.5wSubproblem 2
Set the factor '(5s + -4w)' equal to zero and attempt to solve: Simplifying 5s + -4w = 0 Solving 5s + -4w = 0 Move all terms containing s to the left, all other terms to the right. Add '4w' to each side of the equation. 5s + -4w + 4w = 0 + 4w Combine like terms: -4w + 4w = 0 5s + 0 = 0 + 4w 5s = 0 + 4w Remove the zero: 5s = 4w Divide each side by '5'. s = 0.8w Simplifying s = 0.8wSolution
s = {2.5w, 0.8w}
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