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Simplifying s(10 + s) = 336 (10 * s + s * s) = 336 (10s + s2) = 336 Solving 10s + s2 = 336 Solving for variable 's'. Reorder the terms: -336 + 10s + s2 = 336 + -336 Combine like terms: 336 + -336 = 0 -336 + 10s + s2 = 0 Factor a trinomial. (-24 + -1s)(14 + -1s) = 0Subproblem 1
Set the factor '(-24 + -1s)' equal to zero and attempt to solve: Simplifying -24 + -1s = 0 Solving -24 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1s = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1s = 0 + 24 -1s = 0 + 24 Combine like terms: 0 + 24 = 24 -1s = 24 Divide each side by '-1'. s = -24 Simplifying s = -24Subproblem 2
Set the factor '(14 + -1s)' equal to zero and attempt to solve: Simplifying 14 + -1s = 0 Solving 14 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1s = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1s = 0 + -14 -1s = 0 + -14 Combine like terms: 0 + -14 = -14 -1s = -14 Divide each side by '-1'. s = 14 Simplifying s = 14Solution
s = {-24, 14}
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