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Simplifying (5s + -3)(s + 5) = 0 Reorder the terms: (-3 + 5s)(s + 5) = 0 Reorder the terms: (-3 + 5s)(5 + s) = 0 Multiply (-3 + 5s) * (5 + s) (-3(5 + s) + 5s * (5 + s)) = 0 ((5 * -3 + s * -3) + 5s * (5 + s)) = 0 ((-15 + -3s) + 5s * (5 + s)) = 0 (-15 + -3s + (5 * 5s + s * 5s)) = 0 (-15 + -3s + (25s + 5s2)) = 0 Combine like terms: -3s + 25s = 22s (-15 + 22s + 5s2) = 0 Solving -15 + 22s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -1s)(3 + -5s) = 0Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 2
Set the factor '(3 + -5s)' equal to zero and attempt to solve: Simplifying 3 + -5s = 0 Solving 3 + -5s = 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 + -5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5s = 0 + -3 -5s = 0 + -3 Combine like terms: 0 + -3 = -3 -5s = -3 Divide each side by '-5'. s = 0.6 Simplifying s = 0.6Solution
s = {-5, 0.6}
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