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Simplifying (3 + w)(3 + w) = 0 Multiply (3 + w) * (3 + w) (3(3 + w) + w(3 + w)) = 0 ((3 * 3 + w * 3) + w(3 + w)) = 0 ((9 + 3w) + w(3 + w)) = 0 (9 + 3w + (3 * w + w * w)) = 0 (9 + 3w + (3w + w2)) = 0 Combine like terms: 3w + 3w = 6w (9 + 6w + w2) = 0 Solving 9 + 6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + w)(3 + w) = 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 '(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 = -3Solution
w = {-3, -3}
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