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Simplifying (3 + -2s)(2 + -3s) = 0 Multiply (3 + -2s) * (2 + -3s) (3(2 + -3s) + -2s * (2 + -3s)) = 0 ((2 * 3 + -3s * 3) + -2s * (2 + -3s)) = 0 ((6 + -9s) + -2s * (2 + -3s)) = 0 (6 + -9s + (2 * -2s + -3s * -2s)) = 0 (6 + -9s + (-4s + 6s2)) = 0 Combine like terms: -9s + -4s = -13s (6 + -13s + 6s2) = 0 Solving 6 + -13s + 6s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -3s)(3 + -2s) = 0Subproblem 1
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5Solution
s = {0.6666666667, 1.5}
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