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Simplifying (3w + -8)(3 + w) = 0 Reorder the terms: (-8 + 3w)(3 + w) = 0 Multiply (-8 + 3w) * (3 + w) (-8(3 + w) + 3w * (3 + w)) = 0 ((3 * -8 + w * -8) + 3w * (3 + w)) = 0 ((-24 + -8w) + 3w * (3 + w)) = 0 (-24 + -8w + (3 * 3w + w * 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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