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Simplifying 8y2 + 48y + 22 = 0 Reorder the terms: 22 + 48y + 8y2 = 0 Solving 22 + 48y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 24y + 4y2) = 0 Factor a trinomial. 2((11 + 2y)(1 + 2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 2y)' equal to zero and attempt to solve: Simplifying 11 + 2y = 0 Solving 11 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 0 + -11 2y = 0 + -11 Combine like terms: 0 + -11 = -11 2y = -11 Divide each side by '2'. y = -5.5 Simplifying y = -5.5Subproblem 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 = {-5.5, -0.5}
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