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Simplifying s(14s + 5) = 9 Reorder the terms: s(5 + 14s) = 9 (5 * s + 14s * s) = 9 (5s + 14s2) = 9 Solving 5s + 14s2 = 9 Solving for variable 's'. Reorder the terms: -9 + 5s + 14s2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 5s + 14s2 = 0 Factor a trinomial. (-1 + -1s)(9 + -14s) = 0Subproblem 1
Set the factor '(-1 + -1s)' equal to zero and attempt to solve: Simplifying -1 + -1s = 0 Solving -1 + -1s = 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 + -1s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1s = 0 + 1 -1s = 0 + 1 Combine like terms: 0 + 1 = 1 -1s = 1 Divide each side by '-1'. s = -1 Simplifying s = -1Subproblem 2
Set the factor '(9 + -14s)' equal to zero and attempt to solve: Simplifying 9 + -14s = 0 Solving 9 + -14s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14s = 0 + -9 -14s = 0 + -9 Combine like terms: 0 + -9 = -9 -14s = -9 Divide each side by '-14'. s = 0.6428571429 Simplifying s = 0.6428571429Solution
s = {-1, 0.6428571429}
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