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Simplifying y2 + 14y + 10 = -35 Reorder the terms: 10 + 14y + y2 = -35 Solving 10 + 14y + y2 = -35 Solving for variable 'y'. Reorder the terms: 10 + 35 + 14y + y2 = -35 + 35 Combine like terms: 10 + 35 = 45 45 + 14y + y2 = -35 + 35 Combine like terms: -35 + 35 = 0 45 + 14y + y2 = 0 Factor a trinomial. (9 + y)(5 + y) = 0Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Subproblem 2
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 = -5Solution
y = {-9, -5}
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