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Simplifying (3s + -4)(4s + 5) = 0 Reorder the terms: (-4 + 3s)(4s + 5) = 0 Reorder the terms: (-4 + 3s)(5 + 4s) = 0 Multiply (-4 + 3s) * (5 + 4s) (-4(5 + 4s) + 3s * (5 + 4s)) = 0 ((5 * -4 + 4s * -4) + 3s * (5 + 4s)) = 0 ((-20 + -16s) + 3s * (5 + 4s)) = 0 (-20 + -16s + (5 * 3s + 4s * 3s)) = 0 (-20 + -16s + (15s + 12s2)) = 0 Combine like terms: -16s + 15s = -1s (-20 + -1s + 12s2) = 0 Solving -20 + -1s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -4s)(4 + -3s) = 0Subproblem 1
Set the factor '(-5 + -4s)' equal to zero and attempt to solve: Simplifying -5 + -4s = 0 Solving -5 + -4s = 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 + -4s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4s = 0 + 5 -4s = 0 + 5 Combine like terms: 0 + 5 = 5 -4s = 5 Divide each side by '-4'. s = -1.25 Simplifying s = -1.25Subproblem 2
Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Solution
s = {-1.25, 1.333333333}
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