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Simplifying (s + 4)(s + -2) = 0 Reorder the terms: (4 + s)(s + -2) = 0 Reorder the terms: (4 + s)(-2 + s) = 0 Multiply (4 + s) * (-2 + s) (4(-2 + s) + s(-2 + s)) = 0 ((-2 * 4 + s * 4) + s(-2 + s)) = 0 ((-8 + 4s) + s(-2 + s)) = 0 (-8 + 4s + (-2 * s + s * s)) = 0 (-8 + 4s + (-2s + s2)) = 0 Combine like terms: 4s + -2s = 2s (-8 + 2s + s2) = 0 Solving -8 + 2s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-4 + -1s)(2 + -1s) = 0Subproblem 1
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Solution
s = {-4, 2}
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