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Simplifying (w + 8)(w + 7) = 0 Reorder the terms: (8 + w)(w + 7) = 0 Reorder the terms: (8 + w)(7 + w) = 0 Multiply (8 + w) * (7 + w) (8(7 + w) + w(7 + w)) = 0 ((7 * 8 + w * 8) + w(7 + w)) = 0 ((56 + 8w) + w(7 + w)) = 0 (56 + 8w + (7 * w + w * w)) = 0 (56 + 8w + (7w + w2)) = 0 Combine like terms: 8w + 7w = 15w (56 + 15w + w2) = 0 Solving 56 + 15w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (8 + w)(7 + w) = 0Subproblem 1
Set the factor '(8 + w)' equal to zero and attempt to solve: Simplifying 8 + w = 0 Solving 8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + w = 0 + -8 w = 0 + -8 Combine like terms: 0 + -8 = -8 w = -8 Simplifying w = -8Subproblem 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 = {-8, -7}
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