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Simplifying 2y2 + -15y + 38 + -1y2 + 12y + -36 = 0 Reorder the terms: 38 + -36 + -15y + 12y + 2y2 + -1y2 = 0 Combine like terms: 38 + -36 = 2 2 + -15y + 12y + 2y2 + -1y2 = 0 Combine like terms: -15y + 12y = -3y 2 + -3y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 2 + -3y + 1y2 = 0 Solving 2 + -3y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(2 + -1y) = 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 '(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 = 2Solution
y = {1, 2}
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