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