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Simplifying (w + -3)(w + 6) = 0 Reorder the terms: (-3 + w)(w + 6) = 0 Reorder the terms: (-3 + w)(6 + w) = 0 Multiply (-3 + w) * (6 + w) (-3(6 + w) + w(6 + w)) = 0 ((6 * -3 + w * -3) + w(6 + w)) = 0 ((-18 + -3w) + w(6 + w)) = 0 (-18 + -3w + (6 * w + w * w)) = 0 (-18 + -3w + (6w + w2)) = 0 Combine like terms: -3w + 6w = 3w (-18 + 3w + w2) = 0 Solving -18 + 3w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w)(3 + -1w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 2
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 = 3Solution
w = {-6, 3}
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