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