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Simplifying s2 + s = 210 Reorder the terms: s + s2 = 210 Solving s + s2 = 210 Solving for variable 's'. Reorder the terms: -210 + s + s2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + s + s2 = 0 Factor a trinomial. (-15 + -1s)(14 + -1s) = 0Subproblem 1
Set the factor '(-15 + -1s)' equal to zero and attempt to solve: Simplifying -15 + -1s = 0 Solving -15 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1s = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1s = 0 + 15 -1s = 0 + 15 Combine like terms: 0 + 15 = 15 -1s = 15 Divide each side by '-1'. s = -15 Simplifying s = -15Subproblem 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 = {-15, 14}
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