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Simplifying (4 + 8y)(4 + 8y) = 0 Multiply (4 + 8y) * (4 + 8y) (4(4 + 8y) + 8y * (4 + 8y)) = 0 ((4 * 4 + 8y * 4) + 8y * (4 + 8y)) = 0 ((16 + 32y) + 8y * (4 + 8y)) = 0 (16 + 32y + (4 * 8y + 8y * 8y)) = 0 (16 + 32y + (32y + 64y2)) = 0 Combine like terms: 32y + 32y = 64y (16 + 64y + 64y2) = 0 Solving 16 + 64y + 64y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '16'. 16(1 + 4y + 4y2) = 0 Factor a trinomial. 16((1 + 2y)(1 + 2y)) = 0 Ignore the factor 16.Subproblem 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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