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Simplifying (s + 40)(s + -45) = 0 Reorder the terms: (40 + s)(s + -45) = 0 Reorder the terms: (40 + s)(-45 + s) = 0 Multiply (40 + s) * (-45 + s) (40(-45 + s) + s(-45 + s)) = 0 ((-45 * 40 + s * 40) + s(-45 + s)) = 0 ((-1800 + 40s) + s(-45 + s)) = 0 (-1800 + 40s + (-45 * s + s * s)) = 0 (-1800 + 40s + (-45s + s2)) = 0 Combine like terms: 40s + -45s = -5s (-1800 + -5s + s2) = 0 Solving -1800 + -5s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-40 + -1s)(45 + -1s) = 0Subproblem 1
Set the factor '(-40 + -1s)' equal to zero and attempt to solve: Simplifying -40 + -1s = 0 Solving -40 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1s = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1s = 0 + 40 -1s = 0 + 40 Combine like terms: 0 + 40 = 40 -1s = 40 Divide each side by '-1'. s = -40 Simplifying s = -40Subproblem 2
Set the factor '(45 + -1s)' equal to zero and attempt to solve: Simplifying 45 + -1s = 0 Solving 45 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1s = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1s = 0 + -45 -1s = 0 + -45 Combine like terms: 0 + -45 = -45 -1s = -45 Divide each side by '-1'. s = 45 Simplifying s = 45Solution
s = {-40, 45}
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