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Simplifying y2 + -25y + -54 = 0 Reorder the terms: -54 + -25y + y2 = 0 Solving -54 + -25y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -1y)(27 + -1y) = 0Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve: Simplifying -2 + -1y = 0 Solving -2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 0 + 2 -1y = 0 + 2 Combine like terms: 0 + 2 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2Subproblem 2
Set the factor '(27 + -1y)' equal to zero and attempt to solve: Simplifying 27 + -1y = 0 Solving 27 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 0 + -27 -1y = 0 + -27 Combine like terms: 0 + -27 = -27 -1y = -27 Divide each side by '-1'. y = 27 Simplifying y = 27Solution
y = {-2, 27}
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