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Simplifying s2 + -3s + -54 = 0 Reorder the terms: -54 + -3s + s2 = 0 Solving -54 + -3s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-6 + -1s)(9 + -1s) = 0Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve: Simplifying -6 + -1s = 0 Solving -6 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1s = 0 + 6 -1s = 0 + 6 Combine like terms: 0 + 6 = 6 -1s = 6 Divide each side by '-1'. s = -6 Simplifying s = -6Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {-6, 9}
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