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Simplifying y2 + -38y + 336 = 0 Reorder the terms: 336 + -38y + y2 = 0 Solving 336 + -38y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (14 + -1y)(24 + -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 '(24 + -1y)' equal to zero and attempt to solve: Simplifying 24 + -1y = 0 Solving 24 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = 0 + -24 -1y = 0 + -24 Combine like terms: 0 + -24 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24Solution
y = {14, 24}
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