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Simplifying (w + 7)(w + 11) = 0 Reorder the terms: (7 + w)(w + 11) = 0 Reorder the terms: (7 + w)(11 + w) = 0 Multiply (7 + w) * (11 + w) (7(11 + w) + w(11 + w)) = 0 ((11 * 7 + w * 7) + w(11 + w)) = 0 ((77 + 7w) + w(11 + w)) = 0 (77 + 7w + (11 * w + w * w)) = 0 (77 + 7w + (11w + w2)) = 0 Combine like terms: 7w + 11w = 18w (77 + 18w + w2) = 0 Solving 77 + 18w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (11 + w)(7 + w) = 0Subproblem 1
Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11Subproblem 2
Set the factor '(7 + w)' equal to zero and attempt to solve: Simplifying 7 + w = 0 Solving 7 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w = 0 + -7 w = 0 + -7 Combine like terms: 0 + -7 = -7 w = -7 Simplifying w = -7Solution
w = {-11, -7}
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