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Simplifying (4s + -1)(5s + 3) = 0 Reorder the terms: (-1 + 4s)(5s + 3) = 0 Reorder the terms: (-1 + 4s)(3 + 5s) = 0 Multiply (-1 + 4s) * (3 + 5s) (-1(3 + 5s) + 4s * (3 + 5s)) = 0 ((3 * -1 + 5s * -1) + 4s * (3 + 5s)) = 0 ((-3 + -5s) + 4s * (3 + 5s)) = 0 (-3 + -5s + (3 * 4s + 5s * 4s)) = 0 (-3 + -5s + (12s + 20s2)) = 0 Combine like terms: -5s + 12s = 7s (-3 + 7s + 20s2) = 0 Solving -3 + 7s + 20s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -5s)(1 + -4s) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(1 + -4s)' equal to zero and attempt to solve: Simplifying 1 + -4s = 0 Solving 1 + -4s = 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 + -4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4s = 0 + -1 -4s = 0 + -1 Combine like terms: 0 + -1 = -1 -4s = -1 Divide each side by '-4'. s = 0.25 Simplifying s = 0.25Solution
s = {-0.6, 0.25}
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