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Simplifying -1s2 = 36 + -12s Solving -1s2 = 36 + -12s Solving for variable 's'. Reorder the terms: -36 + 12s + -1s2 = 36 + -12s + -36 + 12s Reorder the terms: -36 + 12s + -1s2 = 36 + -36 + -12s + 12s Combine like terms: 36 + -36 = 0 -36 + 12s + -1s2 = 0 + -12s + 12s -36 + 12s + -1s2 = -12s + 12s Combine like terms: -12s + 12s = 0 -36 + 12s + -1s2 = 0 Factor a trinomial. (-6 + s)(6 + -1s) = 0Subproblem 1
Set the factor '(-6 + s)' equal to zero and attempt to solve: Simplifying -6 + s = 0 Solving -6 + s = 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 + s = 0 + 6 Combine like terms: -6 + 6 = 0 0 + s = 0 + 6 s = 0 + 6 Combine like terms: 0 + 6 = 6 s = 6 Simplifying s = 6Subproblem 2
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 = 6Solution
s = {6, 6}
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