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Simplifying (s + -1)(s + -8) = 0 Reorder the terms: (-1 + s)(s + -8) = 0 Reorder the terms: (-1 + s)(-8 + s) = 0 Multiply (-1 + s) * (-8 + s) (-1(-8 + s) + s(-8 + s)) = 0 ((-8 * -1 + s * -1) + s(-8 + s)) = 0 ((8 + -1s) + s(-8 + s)) = 0 (8 + -1s + (-8 * s + s * s)) = 0 (8 + -1s + (-8s + s2)) = 0 Combine like terms: -1s + -8s = -9s (8 + -9s + s2) = 0 Solving 8 + -9s + s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -1s)(8 + -1s) = 0Subproblem 1
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {1, 8}
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