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Simplifying (8w + 7)(w + 3) = 0 Reorder the terms: (7 + 8w)(w + 3) = 0 Reorder the terms: (7 + 8w)(3 + w) = 0 Multiply (7 + 8w) * (3 + w) (7(3 + w) + 8w * (3 + w)) = 0 ((3 * 7 + w * 7) + 8w * (3 + w)) = 0 ((21 + 7w) + 8w * (3 + w)) = 0 (21 + 7w + (3 * 8w + w * 8w)) = 0 (21 + 7w + (24w + 8w2)) = 0 Combine like terms: 7w + 24w = 31w (21 + 31w + 8w2) = 0 Solving 21 + 31w + 8w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + w)(7 + 8w) = 0Subproblem 1
Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Subproblem 2
Set the factor '(7 + 8w)' equal to zero and attempt to solve: Simplifying 7 + 8w = 0 Solving 7 + 8w = 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 + 8w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8w = 0 + -7 8w = 0 + -7 Combine like terms: 0 + -7 = -7 8w = -7 Divide each side by '8'. w = -0.875 Simplifying w = -0.875Solution
w = {-3, -0.875}
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