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Simplifying (s + 10)(s + -8) = 0 Reorder the terms: (10 + s)(s + -8) = 0 Reorder the terms: (10 + s)(-8 + s) = 0 Multiply (10 + s) * (-8 + s) (10(-8 + s) + s(-8 + s)) = 0 ((-8 * 10 + s * 10) + s(-8 + s)) = 0 ((-80 + 10s) + s(-8 + s)) = 0 (-80 + 10s + (-8 * s + s * s)) = 0 (-80 + 10s + (-8s + s2)) = 0 Combine like terms: 10s + -8s = 2s (-80 + 2s + s2) = 0 Solving -80 + 2s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-10 + -1s)(8 + -1s) = 0Subproblem 1
Set the factor '(-10 + -1s)' equal to zero and attempt to solve: Simplifying -10 + -1s = 0 Solving -10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1s = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1s = 0 + 10 -1s = 0 + 10 Combine like terms: 0 + 10 = 10 -1s = 10 Divide each side by '-1'. s = -10 Simplifying s = -10Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-10, 8}
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