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Simplifying (5s + -2)(s + 4) = 0 Reorder the terms: (-2 + 5s)(s + 4) = 0 Reorder the terms: (-2 + 5s)(4 + s) = 0 Multiply (-2 + 5s) * (4 + s) (-2(4 + s) + 5s * (4 + s)) = 0 ((4 * -2 + s * -2) + 5s * (4 + s)) = 0 ((-8 + -2s) + 5s * (4 + s)) = 0 (-8 + -2s + (4 * 5s + s * 5s)) = 0 (-8 + -2s + (20s + 5s2)) = 0 Combine like terms: -2s + 20s = 18s (-8 + 18s + 5s2) = 0 Solving -8 + 18s + 5s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -1s)(2 + -5s) = 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 '(2 + -5s)' equal to zero and attempt to solve: Simplifying 2 + -5s = 0 Solving 2 + -5s = 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 + -5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5s = 0 + -2 -5s = 0 + -2 Combine like terms: 0 + -2 = -2 -5s = -2 Divide each side by '-5'. s = 0.4 Simplifying s = 0.4Solution
s = {-4, 0.4}
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