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Simplifying s2 + 20s = -100 Reorder the terms: 20s + s2 = -100 Solving 20s + s2 = -100 Solving for variable 's'. Reorder the terms: 100 + 20s + s2 = -100 + 100 Combine like terms: -100 + 100 = 0 100 + 20s + s2 = 0 Factor a trinomial. (10 + s)(10 + s) = 0Subproblem 1
Set the factor '(10 + s)' equal to zero and attempt to solve: Simplifying 10 + s = 0 Solving 10 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + s = 0 + -10 s = 0 + -10 Combine like terms: 0 + -10 = -10 s = -10 Simplifying s = -10Subproblem 2
Set the factor '(10 + s)' equal to zero and attempt to solve: Simplifying 10 + s = 0 Solving 10 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + s = 0 + -10 s = 0 + -10 Combine like terms: 0 + -10 = -10 s = -10 Simplifying s = -10Solution
s = {-10, -10}
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