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Simplifying (s + 20)(s + -25) = 0 Reorder the terms: (20 + s)(s + -25) = 0 Reorder the terms: (20 + s)(-25 + s) = 0 Multiply (20 + s) * (-25 + s) (20(-25 + s) + s(-25 + s)) = 0 ((-25 * 20 + s * 20) + s(-25 + s)) = 0 ((-500 + 20s) + s(-25 + s)) = 0 (-500 + 20s + (-25 * s + s * s)) = 0 (-500 + 20s + (-25s + s2)) = 0 Combine like terms: 20s + -25s = -5s (-500 + -5s + s2) = 0 Solving -500 + -5s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-20 + -1s)(25 + -1s) = 0Subproblem 1
Set the factor '(-20 + -1s)' equal to zero and attempt to solve: Simplifying -20 + -1s = 0 Solving -20 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1s = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1s = 0 + 20 -1s = 0 + 20 Combine like terms: 0 + 20 = 20 -1s = 20 Divide each side by '-1'. s = -20 Simplifying s = -20Subproblem 2
Set the factor '(25 + -1s)' equal to zero and attempt to solve: Simplifying 25 + -1s = 0 Solving 25 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1s = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1s = 0 + -25 -1s = 0 + -25 Combine like terms: 0 + -25 = -25 -1s = -25 Divide each side by '-1'. s = 25 Simplifying s = 25Solution
s = {-20, 25}
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