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Simplifying 0 = [(s + 2) + -4][(s + 2) + 4] Reorder the terms: 0 = [(2 + s) + -4][(s + 2) + 4] Remove parenthesis around (2 + s) 0 = [2 + s + -4][(s + 2) + 4] Reorder the terms: 0 = [2 + -4 + s][(s + 2) + 4] Combine like terms: 2 + -4 = -2 0 = [-2 + s][(s + 2) + 4] Reorder the terms: 0 = [-2 + s][(2 + s) + 4] Remove parenthesis around (2 + s) 0 = [-2 + s][2 + s + 4] Reorder the terms: 0 = [-2 + s][2 + 4 + s] Combine like terms: 2 + 4 = 6 0 = [-2 + s][6 + s] Multiply [-2 + s] * [6 + s] 0 = [-2[6 + s] + s[6 + s]] 0 = [[6 * -2 + s * -2] + s[6 + s]] 0 = [[-12 + -2s] + s[6 + s]] 0 = [-12 + -2s + [6 * s + s * s]] 0 = [-12 + -2s + [6s + s2]] Combine like terms: -2s + 6s = 4s 0 = [-12 + 4s + s2] Solving 0 = -12 + 4s + s2 Solving for variable 's'. Combine like terms: 0 + 12 = 12 12 + -4s + -1s2 = -12 + 4s + s2 + 12 + -4s + -1s2 Reorder the terms: 12 + -4s + -1s2 = -12 + 12 + 4s + -4s + s2 + -1s2 Combine like terms: -12 + 12 = 0 12 + -4s + -1s2 = 0 + 4s + -4s + s2 + -1s2 12 + -4s + -1s2 = 4s + -4s + s2 + -1s2 Combine like terms: 4s + -4s = 0 12 + -4s + -1s2 = 0 + s2 + -1s2 12 + -4s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 12 + -4s + -1s2 = 0 Factor a trinomial. (2 + -1s)(6 + s) = 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 '(6 + s)' equal to zero and attempt to solve: Simplifying 6 + s = 0 Solving 6 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s = 0 + -6 s = 0 + -6 Combine like terms: 0 + -6 = -6 s = -6 Simplifying s = -6Solution
s = {2, -6}
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