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Simplifying (s + 7)(s + -9) = 0 Reorder the terms: (7 + s)(s + -9) = 0 Reorder the terms: (7 + s)(-9 + s) = 0 Multiply (7 + s) * (-9 + s) (7(-9 + s) + s(-9 + s)) = 0 ((-9 * 7 + s * 7) + s(-9 + s)) = 0 ((-63 + 7s) + s(-9 + s)) = 0 (-63 + 7s + (-9 * s + s * s)) = 0 (-63 + 7s + (-9s + s2)) = 0 Combine like terms: 7s + -9s = -2s (-63 + -2s + s2) = 0 Solving -63 + -2s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -1s)(9 + -1s) = 0Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve: Simplifying -7 + -1s = 0 Solving -7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1s = 0 + 7 -1s = 0 + 7 Combine like terms: 0 + 7 = 7 -1s = 7 Divide each side by '-1'. s = -7 Simplifying s = -7Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 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 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {-7, 9}
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