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Simplifying 5((s2) + 11s + 10) = 0 5(s2 + 11s + 10) = 0 Reorder the terms: 5(10 + 11s + s2) = 0 (10 * 5 + 11s * 5 + s2 * 5) = 0 (50 + 55s + 5s2) = 0 Solving 50 + 55s + 5s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(10 + 11s + s2) = 0 Factor a trinomial. 5((10 + s)(1 + s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + s)' equal to zero and attempt to solve: Simplifying 10 + s = 0 Solving 10 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + s = 0 + -10 s = 0 + -10 Combine like terms: 0 + -10 = -10 s = -10 Simplifying s = -10Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1Solution
s = {-10, -1}
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