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Simplifying (8y + 2)(8y + 2) = 0 Reorder the terms: (2 + 8y)(8y + 2) = 0 Reorder the terms: (2 + 8y)(2 + 8y) = 0 Multiply (2 + 8y) * (2 + 8y) (2(2 + 8y) + 8y * (2 + 8y)) = 0 ((2 * 2 + 8y * 2) + 8y * (2 + 8y)) = 0 ((4 + 16y) + 8y * (2 + 8y)) = 0 (4 + 16y + (2 * 8y + 8y * 8y)) = 0 (4 + 16y + (16y + 64y2)) = 0 Combine like terms: 16y + 16y = 32y (4 + 32y + 64y2) = 0 Solving 4 + 32y + 64y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 8y + 16y2) = 0 Factor a trinomial. 4((1 + 4y)(1 + 4y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve: Simplifying 1 + 4y = 0 Solving 1 + 4y = 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 + 4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 0 + -1 4y = 0 + -1 Combine like terms: 0 + -1 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25Solution
y = {-0.25, -0.25}
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