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Simplifying 4y2 + 15y + 11 = 0 Reorder the terms: 11 + 15y + 4y2 = 0 Solving 11 + 15y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (11 + 4y)(1 + y) = 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 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-2.75, -1}
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