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Simplifying (4w + 7)(4w + 7) = 0 Reorder the terms: (7 + 4w)(4w + 7) = 0 Reorder the terms: (7 + 4w)(7 + 4w) = 0 Multiply (7 + 4w) * (7 + 4w) (7(7 + 4w) + 4w * (7 + 4w)) = 0 ((7 * 7 + 4w * 7) + 4w * (7 + 4w)) = 0 ((49 + 28w) + 4w * (7 + 4w)) = 0 (49 + 28w + (7 * 4w + 4w * 4w)) = 0 (49 + 28w + (28w + 16w2)) = 0 Combine like terms: 28w + 28w = 56w (49 + 56w + 16w2) = 0 Solving 49 + 56w + 16w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + 4w)(7 + 4w) = 0Subproblem 1
Set the factor '(7 + 4w)' equal to zero and attempt to solve: Simplifying 7 + 4w = 0 Solving 7 + 4w = 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 + 4w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 0 + -7 4w = 0 + -7 Combine like terms: 0 + -7 = -7 4w = -7 Divide each side by '4'. w = -1.75 Simplifying w = -1.75Subproblem 2
Set the factor '(7 + 4w)' equal to zero and attempt to solve: Simplifying 7 + 4w = 0 Solving 7 + 4w = 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 + 4w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 0 + -7 4w = 0 + -7 Combine like terms: 0 + -7 = -7 4w = -7 Divide each side by '4'. w = -1.75 Simplifying w = -1.75Solution
w = {-1.75, -1.75}
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