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Simplifying (2y + 1)(2y + 1) = 0 Reorder the terms: (1 + 2y)(2y + 1) = 0 Reorder the terms: (1 + 2y)(1 + 2y) = 0 Multiply (1 + 2y) * (1 + 2y) (1(1 + 2y) + 2y * (1 + 2y)) = 0 ((1 * 1 + 2y * 1) + 2y * (1 + 2y)) = 0 ((1 + 2y) + 2y * (1 + 2y)) = 0 (1 + 2y + (1 * 2y + 2y * 2y)) = 0 (1 + 2y + (2y + 4y2)) = 0 Combine like terms: 2y + 2y = 4y (1 + 4y + 4y2) = 0 Solving 1 + 4y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + 2y)(1 + 2y) = 0Subproblem 1
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Subproblem 2
Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Solution
y = {-0.5, -0.5}
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