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Simplifying 25y2 + -51y + 26 = 0 Reorder the terms: 26 + -51y + 25y2 = 0 Solving 26 + -51y + 25y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(26 + -25y) = 0Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Subproblem 2
Set the factor '(26 + -25y)' equal to zero and attempt to solve: Simplifying 26 + -25y = 0 Solving 26 + -25y = 0 Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -25y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -25y = 0 + -26 -25y = 0 + -26 Combine like terms: 0 + -26 = -26 -25y = -26 Divide each side by '-25'. y = 1.04 Simplifying y = 1.04Solution
y = {1, 1.04}
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