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Simplifying (s + 35)(s + -40) = 0 Reorder the terms: (35 + s)(s + -40) = 0 Reorder the terms: (35 + s)(-40 + s) = 0 Multiply (35 + s) * (-40 + s) (35(-40 + s) + s(-40 + s)) = 0 ((-40 * 35 + s * 35) + s(-40 + s)) = 0 ((-1400 + 35s) + s(-40 + s)) = 0 (-1400 + 35s + (-40 * s + s * s)) = 0 (-1400 + 35s + (-40s + s2)) = 0 Combine like terms: 35s + -40s = -5s (-1400 + -5s + s2) = 0 Solving -1400 + -5s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-35 + -1s)(40 + -1s) = 0Subproblem 1
Set the factor '(-35 + -1s)' equal to zero and attempt to solve: Simplifying -35 + -1s = 0 Solving -35 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1s = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1s = 0 + 35 -1s = 0 + 35 Combine like terms: 0 + 35 = 35 -1s = 35 Divide each side by '-1'. s = -35 Simplifying s = -35Subproblem 2
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 = 40Solution
s = {-35, 40}
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