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Simplifying y2 + 2y + 5 + -3y2 + -5y = 0 Reorder the terms: 5 + 2y + -5y + y2 + -3y2 = 0 Combine like terms: 2y + -5y = -3y 5 + -3y + y2 + -3y2 = 0 Combine like terms: y2 + -3y2 = -2y2 5 + -3y + -2y2 = 0 Solving 5 + -3y + -2y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -1y)(5 + 2y) = 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 '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {1, -2.5}
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