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Simplifying (s + -25)(s + 36) = 0 Reorder the terms: (-25 + s)(s + 36) = 0 Reorder the terms: (-25 + s)(36 + s) = 0 Multiply (-25 + s) * (36 + s) (-25(36 + s) + s(36 + s)) = 0 ((36 * -25 + s * -25) + s(36 + s)) = 0 ((-900 + -25s) + s(36 + s)) = 0 (-900 + -25s + (36 * s + s * s)) = 0 (-900 + -25s + (36s + s2)) = 0 Combine like terms: -25s + 36s = 11s (-900 + 11s + s2) = 0 Solving -900 + 11s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-36 + -1s)(25 + -1s) = 0Subproblem 1
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 = -36Subproblem 2
Set the factor '(25 + -1s)' equal to zero and attempt to solve: Simplifying 25 + -1s = 0 Solving 25 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1s = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1s = 0 + -25 -1s = 0 + -25 Combine like terms: 0 + -25 = -25 -1s = -25 Divide each side by '-1'. s = 25 Simplifying s = 25Solution
s = {-36, 25}
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