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Simplifying 8y2 + 26y + 11 = 0 Reorder the terms: 11 + 26y + 8y2 = 0 Solving 11 + 26y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (11 + 4y)(1 + 2y) = 0Subproblem 1
Set the factor '(11 + 4y)' equal to zero and attempt to solve: Simplifying 11 + 4y = 0 Solving 11 + 4y = 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 + 4y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4y = 0 + -11 4y = 0 + -11 Combine like terms: 0 + -11 = -11 4y = -11 Divide each side by '4'. y = -2.75 Simplifying y = -2.75Subproblem 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 = {-2.75, -0.5}
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