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Simplifying 3y2 + -4y + 4 = -9y + 2y2 Reorder the terms: 4 + -4y + 3y2 = -9y + 2y2 Solving 4 + -4y + 3y2 = -9y + 2y2 Solving for variable 'y'. Reorder the terms: 4 + -4y + 9y + 3y2 + -2y2 = -9y + 2y2 + 9y + -2y2 Combine like terms: -4y + 9y = 5y 4 + 5y + 3y2 + -2y2 = -9y + 2y2 + 9y + -2y2 Combine like terms: 3y2 + -2y2 = 1y2 4 + 5y + 1y2 = -9y + 2y2 + 9y + -2y2 Reorder the terms: 4 + 5y + 1y2 = -9y + 9y + 2y2 + -2y2 Combine like terms: -9y + 9y = 0 4 + 5y + 1y2 = 0 + 2y2 + -2y2 4 + 5y + 1y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 4 + 5y + 1y2 = 0 Factor a trinomial. (4 + y)(1 + y) = 0Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-4, -1}
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