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Simplifying 9s(7s + 7) + s(3s + 6) = 0 Reorder the terms: 9s(7 + 7s) + s(3s + 6) = 0 (7 * 9s + 7s * 9s) + s(3s + 6) = 0 (63s + 63s2) + s(3s + 6) = 0 Reorder the terms: 63s + 63s2 + s(6 + 3s) = 0 63s + 63s2 + (6 * s + 3s * s) = 0 63s + 63s2 + (6s + 3s2) = 0 Reorder the terms: 63s + 6s + 63s2 + 3s2 = 0 Combine like terms: 63s + 6s = 69s 69s + 63s2 + 3s2 = 0 Combine like terms: 63s2 + 3s2 = 66s2 69s + 66s2 = 0 Solving 69s + 66s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(23 + 22s) = 0 Ignore the factor 3.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(23 + 22s)' equal to zero and attempt to solve: Simplifying 23 + 22s = 0 Solving 23 + 22s = 0 Move all terms containing s to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 22s = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 22s = 0 + -23 22s = 0 + -23 Combine like terms: 0 + -23 = -23 22s = -23 Divide each side by '22'. s = -1.045454545 Simplifying s = -1.045454545Solution
s = {0, -1.045454545}
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