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Simplifying 40s2 + -45s + 32s + -36 = 0 Reorder the terms: -36 + -45s + 32s + 40s2 = 0 Combine like terms: -45s + 32s = -13s -36 + -13s + 40s2 = 0 Solving -36 + -13s + 40s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -5s)(9 + -8s) = 0Subproblem 1
Set the factor '(-4 + -5s)' equal to zero and attempt to solve: Simplifying -4 + -5s = 0 Solving -4 + -5s = 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 + -5s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5s = 0 + 4 -5s = 0 + 4 Combine like terms: 0 + 4 = 4 -5s = 4 Divide each side by '-5'. s = -0.8 Simplifying s = -0.8Subproblem 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 = {-0.8, 1.125}
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