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Simplifying (3w + 7)(3w + 7) = 0 Reorder the terms: (7 + 3w)(3w + 7) = 0 Reorder the terms: (7 + 3w)(7 + 3w) = 0 Multiply (7 + 3w) * (7 + 3w) (7(7 + 3w) + 3w * (7 + 3w)) = 0 ((7 * 7 + 3w * 7) + 3w * (7 + 3w)) = 0 ((49 + 21w) + 3w * (7 + 3w)) = 0 (49 + 21w + (7 * 3w + 3w * 3w)) = 0 (49 + 21w + (21w + 9w2)) = 0 Combine like terms: 21w + 21w = 42w (49 + 42w + 9w2) = 0 Solving 49 + 42w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + 3w)(7 + 3w) = 0Subproblem 1
Set the factor '(7 + 3w)' equal to zero and attempt to solve: Simplifying 7 + 3w = 0 Solving 7 + 3w = 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 + 3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 0 + -7 3w = 0 + -7 Combine like terms: 0 + -7 = -7 3w = -7 Divide each side by '3'. w = -2.333333333 Simplifying w = -2.333333333Subproblem 2
Set the factor '(7 + 3w)' equal to zero and attempt to solve: Simplifying 7 + 3w = 0 Solving 7 + 3w = 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 + 3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 0 + -7 3w = 0 + -7 Combine like terms: 0 + -7 = -7 3w = -7 Divide each side by '3'. w = -2.333333333 Simplifying w = -2.333333333Solution
w = {-2.333333333, -2.333333333}
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