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Simplifying 7y2 + 48y + 65 = 0 Reorder the terms: 65 + 48y + 7y2 = 0 Solving 65 + 48y + 7y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + y)(13 + 7y) = 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 '(13 + 7y)' equal to zero and attempt to solve: Simplifying 13 + 7y = 0 Solving 13 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 7y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 7y = 0 + -13 7y = 0 + -13 Combine like terms: 0 + -13 = -13 7y = -13 Divide each side by '7'. y = -1.857142857 Simplifying y = -1.857142857Solution
y = {-5, -1.857142857}
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