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Simplifying (W + 7)(W + 7) = 0 Reorder the terms: (7 + W)(W + 7) = 0 Reorder the terms: (7 + W)(7 + W) = 0 Multiply (7 + W) * (7 + W) (7(7 + W) + W(7 + W)) = 0 ((7 * 7 + W * 7) + W(7 + W)) = 0 ((49 + 7W) + W(7 + W)) = 0 (49 + 7W + (7 * W + W * W)) = 0 (49 + 7W + (7W + W2)) = 0 Combine like terms: 7W + 7W = 14W (49 + 14W + W2) = 0 Solving 49 + 14W + W2 = 0 Solving for variable 'W'. Factor a trinomial. (7 + W)(7 + W) = 0Subproblem 1
Set the factor '(7 + W)' equal to zero and attempt to solve: Simplifying 7 + W = 0 Solving 7 + W = 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 + W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + W = 0 + -7 W = 0 + -7 Combine like terms: 0 + -7 = -7 W = -7 Simplifying W = -7Subproblem 2
Set the factor '(7 + W)' equal to zero and attempt to solve: Simplifying 7 + W = 0 Solving 7 + W = 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 + W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + W = 0 + -7 W = 0 + -7 Combine like terms: 0 + -7 = -7 W = -7 Simplifying W = -7Solution
W = {-7, -7}
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