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Simplifying -10s = -2s2 + -8 Reorder the terms: -10s = -8 + -2s2 Solving -10s = -8 + -2s2 Solving for variable 's'. Reorder the terms: 8 + -10s + 2s2 = -8 + -2s2 + 8 + 2s2 Reorder the terms: 8 + -10s + 2s2 = -8 + 8 + -2s2 + 2s2 Combine like terms: -8 + 8 = 0 8 + -10s + 2s2 = 0 + -2s2 + 2s2 8 + -10s + 2s2 = -2s2 + 2s2 Combine like terms: -2s2 + 2s2 = 0 8 + -10s + 2s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -5s + s2) = 0 Factor a trinomial. 2((1 + -1s)(4 + -1s)) = 0 Ignore the factor 2.Subproblem 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 '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {1, 4}
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