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Simplifying (3 + -5s)(-3 + 5s) = 0 Multiply (3 + -5s) * (-3 + 5s) (3(-3 + 5s) + -5s * (-3 + 5s)) = 0 ((-3 * 3 + 5s * 3) + -5s * (-3 + 5s)) = 0 ((-9 + 15s) + -5s * (-3 + 5s)) = 0 (-9 + 15s + (-3 * -5s + 5s * -5s)) = 0 (-9 + 15s + (15s + -25s2)) = 0 Combine like terms: 15s + 15s = 30s (-9 + 30s + -25s2) = 0 Solving -9 + 30s + -25s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + 5s)(3 + -5s) = 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 '(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 = {0.6, 0.6}
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