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Simplifying (9s + 2)(s + -5) = 0 Reorder the terms: (2 + 9s)(s + -5) = 0 Reorder the terms: (2 + 9s)(-5 + s) = 0 Multiply (2 + 9s) * (-5 + s) (2(-5 + s) + 9s * (-5 + s)) = 0 ((-5 * 2 + s * 2) + 9s * (-5 + s)) = 0 ((-10 + 2s) + 9s * (-5 + s)) = 0 (-10 + 2s + (-5 * 9s + s * 9s)) = 0 (-10 + 2s + (-45s + 9s2)) = 0 Combine like terms: 2s + -45s = -43s (-10 + -43s + 9s2) = 0 Solving -10 + -43s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -9s)(5 + -1s) = 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 '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-0.2222222222, 5}
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