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Simplifying y2 + -26y + 105 = 0 Reorder the terms: 105 + -26y + y2 = 0 Solving 105 + -26y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -1y)(21 + -1y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 2
Set the factor '(21 + -1y)' equal to zero and attempt to solve: Simplifying 21 + -1y = 0 Solving 21 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = 0 + -21 -1y = 0 + -21 Combine like terms: 0 + -21 = -21 -1y = -21 Divide each side by '-1'. y = 21 Simplifying y = 21Solution
y = {5, 21}
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