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Simplifying (9s + 7)(2s + -5) = 0 Reorder the terms: (7 + 9s)(2s + -5) = 0 Reorder the terms: (7 + 9s)(-5 + 2s) = 0 Multiply (7 + 9s) * (-5 + 2s) (7(-5 + 2s) + 9s * (-5 + 2s)) = 0 ((-5 * 7 + 2s * 7) + 9s * (-5 + 2s)) = 0 ((-35 + 14s) + 9s * (-5 + 2s)) = 0 (-35 + 14s + (-5 * 9s + 2s * 9s)) = 0 (-35 + 14s + (-45s + 18s2)) = 0 Combine like terms: 14s + -45s = -31s (-35 + -31s + 18s2) = 0 Solving -35 + -31s + 18s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -9s)(5 + -2s) = 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 '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 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 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5Solution
s = {-0.7777777778, 2.5}
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