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Simplifying (s + 21)(s + -24) = 0 Reorder the terms: (21 + s)(s + -24) = 0 Reorder the terms: (21 + s)(-24 + s) = 0 Multiply (21 + s) * (-24 + s) (21(-24 + s) + s(-24 + s)) = 0 ((-24 * 21 + s * 21) + s(-24 + s)) = 0 ((-504 + 21s) + s(-24 + s)) = 0 (-504 + 21s + (-24 * s + s * s)) = 0 (-504 + 21s + (-24s + s2)) = 0 Combine like terms: 21s + -24s = -3s (-504 + -3s + s2) = 0 Solving -504 + -3s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-21 + -1s)(24 + -1s) = 0Subproblem 1
Set the factor '(-21 + -1s)' equal to zero and attempt to solve: Simplifying -21 + -1s = 0 Solving -21 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1s = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1s = 0 + 21 -1s = 0 + 21 Combine like terms: 0 + 21 = 21 -1s = 21 Divide each side by '-1'. s = -21 Simplifying s = -21Subproblem 2
Set the factor '(24 + -1s)' equal to zero and attempt to solve: Simplifying 24 + -1s = 0 Solving 24 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1s = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1s = 0 + -24 -1s = 0 + -24 Combine like terms: 0 + -24 = -24 -1s = -24 Divide each side by '-1'. s = 24 Simplifying s = 24Solution
s = {-21, 24}
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