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Simplifying s2 + -1s = 3s + 21 Reorder the terms: -1s + s2 = 3s + 21 Reorder the terms: -1s + s2 = 21 + 3s Solving -1s + s2 = 21 + 3s Solving for variable 's'. Reorder the terms: -21 + -1s + -3s + s2 = 21 + 3s + -21 + -3s Combine like terms: -1s + -3s = -4s -21 + -4s + s2 = 21 + 3s + -21 + -3s Reorder the terms: -21 + -4s + s2 = 21 + -21 + 3s + -3s Combine like terms: 21 + -21 = 0 -21 + -4s + s2 = 0 + 3s + -3s -21 + -4s + s2 = 3s + -3s Combine like terms: 3s + -3s = 0 -21 + -4s + s2 = 0 Factor a trinomial. (-3 + -1s)(7 + -1s) = 0Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {-3, 7}
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