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Simplifying (5s + -1)(s + 3) = 0 Reorder the terms: (-1 + 5s)(s + 3) = 0 Reorder the terms: (-1 + 5s)(3 + s) = 0 Multiply (-1 + 5s) * (3 + s) (-1(3 + s) + 5s * (3 + s)) = 0 ((3 * -1 + s * -1) + 5s * (3 + s)) = 0 ((-3 + -1s) + 5s * (3 + s)) = 0 (-3 + -1s + (3 * 5s + s * 5s)) = 0 (-3 + -1s + (15s + 5s2)) = 0 Combine like terms: -1s + 15s = 14s (-3 + 14s + 5s2) = 0 Solving -3 + 14s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -1s)(1 + -5s) = 0Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(1 + -5s)' equal to zero and attempt to solve: Simplifying 1 + -5s = 0 Solving 1 + -5s = 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 + -5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5s = 0 + -1 -5s = 0 + -1 Combine like terms: 0 + -1 = -1 -5s = -1 Divide each side by '-5'. s = 0.2 Simplifying s = 0.2Solution
s = {-3, 0.2}
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