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Simplifying 10s2 + 33s + -7 = 0 Reorder the terms: -7 + 33s + 10s2 = 0 Solving -7 + 33s + 10s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -2s)(1 + -5s) = 0Subproblem 1
Set the factor '(-7 + -2s)' equal to zero and attempt to solve: Simplifying -7 + -2s = 0 Solving -7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2s = 0 + 7 -2s = 0 + 7 Combine like terms: 0 + 7 = 7 -2s = 7 Divide each side by '-2'. s = -3.5 Simplifying s = -3.5Subproblem 2
Set the factor '(1 + -5s)' equal to zero and attempt to solve: Simplifying 1 + -5s = 0 Solving 1 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5s = 0 + -1 -5s = 0 + -1 Combine like terms: 0 + -1 = -1 -5s = -1 Divide each side by '-5'. s = 0.2 Simplifying s = 0.2Solution
s = {-3.5, 0.2}
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