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Simplifying 6y2 + -25y + 26 = 0 Reorder the terms: 26 + -25y + 6y2 = 0 Solving 26 + -25y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -1y)(13 + -6y) = 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 '(13 + -6y)' equal to zero and attempt to solve: Simplifying 13 + -6y = 0 Solving 13 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6y = 0 + -13 -6y = 0 + -13 Combine like terms: 0 + -13 = -13 -6y = -13 Divide each side by '-6'. y = 2.166666667 Simplifying y = 2.166666667Solution
y = {2, 2.166666667}
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