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Simplifying 2y2 + 3y + 37 + -1y2 + -10y + -25 = 0 Reorder the terms: 37 + -25 + 3y + -10y + 2y2 + -1y2 = 0 Combine like terms: 37 + -25 = 12 12 + 3y + -10y + 2y2 + -1y2 = 0 Combine like terms: 3y + -10y = -7y 12 + -7y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 12 + -7y + 1y2 = 0 Solving 12 + -7y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -1y)(4 + -1y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {3, 4}
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