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Simplifying (8 + -5s)(4 + -5s) = 0 Multiply (8 + -5s) * (4 + -5s) (8(4 + -5s) + -5s * (4 + -5s)) = 0 ((4 * 8 + -5s * 8) + -5s * (4 + -5s)) = 0 ((32 + -40s) + -5s * (4 + -5s)) = 0 (32 + -40s + (4 * -5s + -5s * -5s)) = 0 (32 + -40s + (-20s + 25s2)) = 0 Combine like terms: -40s + -20s = -60s (32 + -60s + 25s2) = 0 Solving 32 + -60s + 25s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + -5s)(8 + -5s) = 0Subproblem 1
Set the factor '(4 + -5s)' equal to zero and attempt to solve: Simplifying 4 + -5s = 0 Solving 4 + -5s = 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 + -5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5s = 0 + -4 -5s = 0 + -4 Combine like terms: 0 + -4 = -4 -5s = -4 Divide each side by '-5'. s = 0.8 Simplifying s = 0.8Subproblem 2
Set the factor '(8 + -5s)' equal to zero and attempt to solve: Simplifying 8 + -5s = 0 Solving 8 + -5s = 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 + -5s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5s = 0 + -8 -5s = 0 + -8 Combine like terms: 0 + -8 = -8 -5s = -8 Divide each side by '-5'. s = 1.6 Simplifying s = 1.6Solution
s = {0.8, 1.6}
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