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Simplifying 6y2 + 49y + 95 = 0 Reorder the terms: 95 + 49y + 6y2 = 0 Solving 95 + 49y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + y)(19 + 6y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(19 + 6y)' equal to zero and attempt to solve: Simplifying 19 + 6y = 0 Solving 19 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6y = 0 + -19 6y = 0 + -19 Combine like terms: 0 + -19 = -19 6y = -19 Divide each side by '6'. y = -3.166666667 Simplifying y = -3.166666667Solution
y = {-5, -3.166666667}
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