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Simplifying y2 + 15y + 14 = 0 Reorder the terms: 14 + 15y + y2 = 0 Solving 14 + 15y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (14 + y)(1 + y) = 0Subproblem 1
Set the factor '(14 + y)' equal to zero and attempt to solve: Simplifying 14 + y = 0 Solving 14 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + y = 0 + -14 y = 0 + -14 Combine like terms: 0 + -14 = -14 y = -14 Simplifying y = -14Subproblem 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 = {-14, -1}
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