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Simplifying 81(s2) + 126s + 49 = 0 Reorder the terms: 49 + 126s + 81s2 = 0 Solving 49 + 126s + 81s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + 9s)(7 + 9s) = 0Subproblem 1
Set the factor '(7 + 9s)' equal to zero and attempt to solve: Simplifying 7 + 9s = 0 Solving 7 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9s = 0 + -7 9s = 0 + -7 Combine like terms: 0 + -7 = -7 9s = -7 Divide each side by '9'. s = -0.7777777778 Simplifying s = -0.7777777778Subproblem 2
Set the factor '(7 + 9s)' equal to zero and attempt to solve: Simplifying 7 + 9s = 0 Solving 7 + 9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9s = 0 + -7 9s = 0 + -7 Combine like terms: 0 + -7 = -7 9s = -7 Divide each side by '9'. s = -0.7777777778 Simplifying s = -0.7777777778Solution
s = {-0.7777777778, -0.7777777778}
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