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Simplifying s(s + 2) = 8 Reorder the terms: s(2 + s) = 8 (2 * s + s * s) = 8 (2s + s2) = 8 Solving 2s + s2 = 8 Solving for variable 's'. Reorder the terms: -8 + 2s + s2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 2s + s2 = 0 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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