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Simplifying 10s2 + -29s + 10 = 0 Reorder the terms: 10 + -29s + 10s2 = 0 Solving 10 + -29s + 10s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -5s)(5 + -2s) = 0Subproblem 1
Set the factor '(2 + -5s)' equal to zero and attempt to solve: Simplifying 2 + -5s = 0 Solving 2 + -5s = 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 + -5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5s = 0 + -2 -5s = 0 + -2 Combine like terms: 0 + -2 = -2 -5s = -2 Divide each side by '-5'. s = 0.4 Simplifying s = 0.4Subproblem 2
Set the factor '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5Solution
s = {0.4, 2.5}
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