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Simplifying 6s2 + -25sw + 14w2 = 0 Reorder the terms: -25sw + 6s2 + 14w2 = 0 Solving -25sw + 6s2 + 14w2 = 0 Solving for variable 's'. Factor a trinomial. (2s + -7w)(3s + -2w) = 0Subproblem 1
Set the factor '(2s + -7w)' equal to zero and attempt to solve: Simplifying 2s + -7w = 0 Solving 2s + -7w = 0 Move all terms containing s to the left, all other terms to the right. Add '7w' to each side of the equation. 2s + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 2s + 0 = 0 + 7w 2s = 0 + 7w Remove the zero: 2s = 7w Divide each side by '2'. s = 3.5w Simplifying s = 3.5wSubproblem 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 = {3.5w, 0.6666666667w}
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