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Simplifying (8s + 5)(3s + -4) = 0 Reorder the terms: (5 + 8s)(3s + -4) = 0 Reorder the terms: (5 + 8s)(-4 + 3s) = 0 Multiply (5 + 8s) * (-4 + 3s) (5(-4 + 3s) + 8s * (-4 + 3s)) = 0 ((-4 * 5 + 3s * 5) + 8s * (-4 + 3s)) = 0 ((-20 + 15s) + 8s * (-4 + 3s)) = 0 (-20 + 15s + (-4 * 8s + 3s * 8s)) = 0 (-20 + 15s + (-32s + 24s2)) = 0 Combine like terms: 15s + -32s = -17s (-20 + -17s + 24s2) = 0 Solving -20 + -17s + 24s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -8s)(4 + -3s) = 0Subproblem 1
Set the factor '(-5 + -8s)' equal to zero and attempt to solve: Simplifying -5 + -8s = 0 Solving -5 + -8s = 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 + -8s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8s = 0 + 5 -8s = 0 + 5 Combine like terms: 0 + 5 = 5 -8s = 5 Divide each side by '-8'. s = -0.625 Simplifying s = -0.625Subproblem 2
Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 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 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Solution
s = {-0.625, 1.333333333}
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