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Simplifying s2 + -25s2 + -10s + 25 = 0 Reorder the terms: 25 + -10s + s2 + -25s2 = 0 Combine like terms: s2 + -25s2 = -24s2 25 + -10s + -24s2 = 0 Solving 25 + -10s + -24s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + -6s)(5 + 4s) = 0Subproblem 1
Set the factor '(5 + -6s)' equal to zero and attempt to solve: Simplifying 5 + -6s = 0 Solving 5 + -6s = 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 + -6s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6s = 0 + -5 -6s = 0 + -5 Combine like terms: 0 + -5 = -5 -6s = -5 Divide each side by '-6'. s = 0.8333333333 Simplifying s = 0.8333333333Subproblem 2
Set the factor '(5 + 4s)' equal to zero and attempt to solve: Simplifying 5 + 4s = 0 Solving 5 + 4s = 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 + 4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4s = 0 + -5 4s = 0 + -5 Combine like terms: 0 + -5 = -5 4s = -5 Divide each side by '4'. s = -1.25 Simplifying s = -1.25Solution
s = {0.8333333333, -1.25}
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