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Simplifying (3w + 8)(3 + -1w) = 0 Reorder the terms: (8 + 3w)(3 + -1w) = 0 Multiply (8 + 3w) * (3 + -1w) (8(3 + -1w) + 3w * (3 + -1w)) = 0 ((3 * 8 + -1w * 8) + 3w * (3 + -1w)) = 0 ((24 + -8w) + 3w * (3 + -1w)) = 0 (24 + -8w + (3 * 3w + -1w * 3w)) = 0 (24 + -8w + (9w + -3w2)) = 0 Combine like terms: -8w + 9w = 1w (24 + 1w + -3w2) = 0 Solving 24 + 1w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -1w)(8 + 3w) = 0Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 2
Set the factor '(8 + 3w)' equal to zero and attempt to solve: Simplifying 8 + 3w = 0 Solving 8 + 3w = 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 + 3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 0 + -8 3w = 0 + -8 Combine like terms: 0 + -8 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667Solution
w = {3, -2.666666667}
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