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Simplifying (9s + -2)(-7s + -9) = 0 Reorder the terms: (-2 + 9s)(-7s + -9) = 0 Reorder the terms: (-2 + 9s)(-9 + -7s) = 0 Multiply (-2 + 9s) * (-9 + -7s) (-2(-9 + -7s) + 9s * (-9 + -7s)) = 0 ((-9 * -2 + -7s * -2) + 9s * (-9 + -7s)) = 0 ((18 + 14s) + 9s * (-9 + -7s)) = 0 (18 + 14s + (-9 * 9s + -7s * 9s)) = 0 (18 + 14s + (-81s + -63s2)) = 0 Combine like terms: 14s + -81s = -67s (18 + -67s + -63s2) = 0 Solving 18 + -67s + -63s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -9s)(9 + 7s) = 0Subproblem 1
Set the factor '(2 + -9s)' equal to zero and attempt to solve: Simplifying 2 + -9s = 0 Solving 2 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9s = 0 + -2 -9s = 0 + -2 Combine like terms: 0 + -2 = -2 -9s = -2 Divide each side by '-9'. s = 0.2222222222 Simplifying s = 0.2222222222Subproblem 2
Set the factor '(9 + 7s)' equal to zero and attempt to solve: Simplifying 9 + 7s = 0 Solving 9 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7s = 0 + -9 7s = 0 + -9 Combine like terms: 0 + -9 = -9 7s = -9 Divide each side by '7'. s = -1.285714286 Simplifying s = -1.285714286Solution
s = {0.2222222222, -1.285714286}
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