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Simplifying y2 + -8y + -308 = 0 Reorder the terms: -308 + -8y + y2 = 0 Solving -308 + -8y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-14 + -1y)(22 + -1y) = 0Subproblem 1
Set the factor '(-14 + -1y)' equal to zero and attempt to solve: Simplifying -14 + -1y = 0 Solving -14 + -1y = 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 + -1y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1y = 0 + 14 -1y = 0 + 14 Combine like terms: 0 + 14 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14Subproblem 2
Set the factor '(22 + -1y)' equal to zero and attempt to solve: Simplifying 22 + -1y = 0 Solving 22 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1y = 0 + -22 -1y = 0 + -22 Combine like terms: 0 + -22 = -22 -1y = -22 Divide each side by '-1'. y = 22 Simplifying y = 22Solution
y = {-14, 22}
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