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Simplifying (s + 7)(s + -5) = 0 Reorder the terms: (7 + s)(s + -5) = 0 Reorder the terms: (7 + s)(-5 + s) = 0 Multiply (7 + s) * (-5 + s) (7(-5 + s) + s(-5 + s)) = 0 ((-5 * 7 + s * 7) + s(-5 + s)) = 0 ((-35 + 7s) + s(-5 + s)) = 0 (-35 + 7s + (-5 * s + s * s)) = 0 (-35 + 7s + (-5s + s2)) = 0 Combine like terms: 7s + -5s = 2s (-35 + 2s + s2) = 0 Solving -35 + 2s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -1s)(5 + -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 '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-7, 5}
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