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Simplifying 9s2 + -48s = -64 Reorder the terms: -48s + 9s2 = -64 Solving -48s + 9s2 = -64 Solving for variable 's'. Reorder the terms: 64 + -48s + 9s2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + -48s + 9s2 = 0 Factor a trinomial. (8 + -3s)(8 + -3s) = 0Subproblem 1
Set the factor '(8 + -3s)' equal to zero and attempt to solve: Simplifying 8 + -3s = 0 Solving 8 + -3s = 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 + -3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = 0 + -8 -3s = 0 + -8 Combine like terms: 0 + -8 = -8 -3s = -8 Divide each side by '-3'. s = 2.666666667 Simplifying s = 2.666666667Subproblem 2
Set the factor '(8 + -3s)' equal to zero and attempt to solve: Simplifying 8 + -3s = 0 Solving 8 + -3s = 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 + -3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3s = 0 + -8 -3s = 0 + -8 Combine like terms: 0 + -8 = -8 -3s = -8 Divide each side by '-3'. s = 2.666666667 Simplifying s = 2.666666667Solution
s = {2.666666667, 2.666666667}
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