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Simplifying 10s2 + 43s + 46 = 0 Reorder the terms: 46 + 43s + 10s2 = 0 Solving 46 + 43s + 10s2 = 0 Solving for variable 's'. Factor a trinomial. (23 + 10s)(2 + s) = 0Subproblem 1
Set the factor '(23 + 10s)' equal to zero and attempt to solve: Simplifying 23 + 10s = 0 Solving 23 + 10s = 0 Move all terms containing s to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10s = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10s = 0 + -23 10s = 0 + -23 Combine like terms: 0 + -23 = -23 10s = -23 Divide each side by '10'. s = -2.3 Simplifying s = -2.3Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {-2.3, -2}
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