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Simplifying (2y + 7)(2y + 7) = 0 Reorder the terms: (7 + 2y)(2y + 7) = 0 Reorder the terms: (7 + 2y)(7 + 2y) = 0 Multiply (7 + 2y) * (7 + 2y) (7(7 + 2y) + 2y * (7 + 2y)) = 0 ((7 * 7 + 2y * 7) + 2y * (7 + 2y)) = 0 ((49 + 14y) + 2y * (7 + 2y)) = 0 (49 + 14y + (7 * 2y + 2y * 2y)) = 0 (49 + 14y + (14y + 4y2)) = 0 Combine like terms: 14y + 14y = 28y (49 + 28y + 4y2) = 0 Solving 49 + 28y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 2y)(7 + 2y) = 0Subproblem 1
Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5Subproblem 2
Set the factor '(7 + 2y)' equal to zero and attempt to solve: Simplifying 7 + 2y = 0 Solving 7 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 0 + -7 2y = 0 + -7 Combine like terms: 0 + -7 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5Solution
y = {-3.5, -3.5}
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