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Simplifying 9s2 + 63s + 63s + 441 + -26s + -185 = 0 Reorder the terms: 441 + -185 + 63s + 63s + -26s + 9s2 = 0 Combine like terms: 441 + -185 = 256 256 + 63s + 63s + -26s + 9s2 = 0 Combine like terms: 63s + 63s = 126s 256 + 126s + -26s + 9s2 = 0 Combine like terms: 126s + -26s = 100s 256 + 100s + 9s2 = 0 Solving 256 + 100s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (64 + 9s)(4 + s) = 0Subproblem 1
Set the factor '(64 + 9s)' equal to zero and attempt to solve: Simplifying 64 + 9s = 0 Solving 64 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 9s = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 9s = 0 + -64 9s = 0 + -64 Combine like terms: 0 + -64 = -64 9s = -64 Divide each side by '9'. s = -7.111111111 Simplifying s = -7.111111111Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Solution
s = {-7.111111111, -4}
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