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Simplifying (S + 2)(S + -4) = 0 Reorder the terms: (2 + S)(S + -4) = 0 Reorder the terms: (2 + S)(-4 + S) = 0 Multiply (2 + S) * (-4 + S) (2(-4 + S) + S(-4 + S)) = 0 ((-4 * 2 + S * 2) + S(-4 + S)) = 0 ((-8 + 2S) + S(-4 + S)) = 0 (-8 + 2S + (-4 * S + S * S)) = 0 (-8 + 2S + (-4S + S2)) = 0 Combine like terms: 2S + -4S = -2S (-8 + -2S + S2) = 0 Solving -8 + -2S + S2 = 0 Solving for variable 'S'. Factor a trinomial. (-2 + -1S)(4 + -1S) = 0Subproblem 1
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 = -2Subproblem 2
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 = 4Solution
S = {-2, 4}
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