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Simplifying (s + -36)(s + 49) = 0 Reorder the terms: (-36 + s)(s + 49) = 0 Reorder the terms: (-36 + s)(49 + s) = 0 Multiply (-36 + s) * (49 + s) (-36(49 + s) + s(49 + s)) = 0 ((49 * -36 + s * -36) + s(49 + s)) = 0 ((-1764 + -36s) + s(49 + s)) = 0 (-1764 + -36s + (49 * s + s * s)) = 0 (-1764 + -36s + (49s + s2)) = 0 Combine like terms: -36s + 49s = 13s (-1764 + 13s + s2) = 0 Solving -1764 + 13s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-49 + -1s)(36 + -1s) = 0Subproblem 1
Set the factor '(-49 + -1s)' equal to zero and attempt to solve: Simplifying -49 + -1s = 0 Solving -49 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -1s = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -1s = 0 + 49 -1s = 0 + 49 Combine like terms: 0 + 49 = 49 -1s = 49 Divide each side by '-1'. s = -49 Simplifying s = -49Subproblem 2
Set the factor '(36 + -1s)' equal to zero and attempt to solve: Simplifying 36 + -1s = 0 Solving 36 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1s = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1s = 0 + -36 -1s = 0 + -36 Combine like terms: 0 + -36 = -36 -1s = -36 Divide each side by '-1'. s = 36 Simplifying s = 36Solution
s = {-49, 36}
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