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Simplifying -2s2 + 10s + 28 = 0 Reorder the terms: 28 + 10s + -2s2 = 0 Solving 28 + 10s + -2s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 5s + -1s2) = 0 Factor a trinomial. 2((7 + -1s)(2 + s)) = 0 Ignore the factor 2.Subproblem 1
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 = 7Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {7, -2}
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