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Simplifying 21s2 + -62s + 45 = 0 Reorder the terms: 45 + -62s + 21s2 = 0 Solving 45 + -62s + 21s2 = 0 Solving for variable 's'. Factor a trinomial. (9 + -7s)(5 + -3s) = 0Subproblem 1
Set the factor '(9 + -7s)' equal to zero and attempt to solve: Simplifying 9 + -7s = 0 Solving 9 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7s = 0 + -9 -7s = 0 + -9 Combine like terms: 0 + -9 = -9 -7s = -9 Divide each side by '-7'. s = 1.285714286 Simplifying s = 1.285714286Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Solution
s = {1.285714286, 1.666666667}
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