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Simplifying 5s2 + 12s + -416 = 0 Reorder the terms: -416 + 12s + 5s2 = 0 Solving -416 + 12s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-52 + -5s)(8 + -1s) = 0Subproblem 1
Set the factor '(-52 + -5s)' equal to zero and attempt to solve: Simplifying -52 + -5s = 0 Solving -52 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -5s = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -5s = 0 + 52 -5s = 0 + 52 Combine like terms: 0 + 52 = 52 -5s = 52 Divide each side by '-5'. s = -10.4 Simplifying s = -10.4Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-10.4, 8}
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