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Simplifying 2s2 + -70s + -1500 = 0 Reorder the terms: -1500 + -70s + 2s2 = 0 Solving -1500 + -70s + 2s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-750 + -35s + s2) = 0 Factor a trinomial. 2((-15 + -1s)(50 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -1s)' equal to zero and attempt to solve: Simplifying -15 + -1s = 0 Solving -15 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1s = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1s = 0 + 15 -1s = 0 + 15 Combine like terms: 0 + 15 = 15 -1s = 15 Divide each side by '-1'. s = -15 Simplifying s = -15Subproblem 2
Set the factor '(50 + -1s)' equal to zero and attempt to solve: Simplifying 50 + -1s = 0 Solving 50 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1s = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1s = 0 + -50 -1s = 0 + -50 Combine like terms: 0 + -50 = -50 -1s = -50 Divide each side by '-1'. s = 50 Simplifying s = 50Solution
s = {-15, 50}
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