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Simplifying (8s + -9)(s + 4) = 0 Reorder the terms: (-9 + 8s)(s + 4) = 0 Reorder the terms: (-9 + 8s)(4 + s) = 0 Multiply (-9 + 8s) * (4 + s) (-9(4 + s) + 8s * (4 + s)) = 0 ((4 * -9 + s * -9) + 8s * (4 + s)) = 0 ((-36 + -9s) + 8s * (4 + s)) = 0 (-36 + -9s + (4 * 8s + s * 8s)) = 0 (-36 + -9s + (32s + 8s2)) = 0 Combine like terms: -9s + 32s = 23s (-36 + 23s + 8s2) = 0 Solving -36 + 23s + 8s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -1s)(9 + -8s) = 0Subproblem 1
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 2
Set the factor '(9 + -8s)' equal to zero and attempt to solve: Simplifying 9 + -8s = 0 Solving 9 + -8s = 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 + -8s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8s = 0 + -9 -8s = 0 + -9 Combine like terms: 0 + -9 = -9 -8s = -9 Divide each side by '-8'. s = 1.125 Simplifying s = 1.125Solution
s = {-4, 1.125}
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