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Simplifying y = y2 + 4y + -4 Reorder the terms: y = -4 + 4y + y2 Solving y = -4 + 4y + y2 Solving for variable 'y'. Reorder the terms: 4 + y + -4y + -1y2 = -4 + 4y + y2 + 4 + -4y + -1y2 Combine like terms: y + -4y = -3y 4 + -3y + -1y2 = -4 + 4y + y2 + 4 + -4y + -1y2 Reorder the terms: 4 + -3y + -1y2 = -4 + 4 + 4y + -4y + y2 + -1y2 Combine like terms: -4 + 4 = 0 4 + -3y + -1y2 = 0 + 4y + -4y + y2 + -1y2 4 + -3y + -1y2 = 4y + -4y + y2 + -1y2 Combine like terms: 4y + -4y = 0 4 + -3y + -1y2 = 0 + y2 + -1y2 4 + -3y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 4 + -3y + -1y2 = 0 Factor a trinomial. (1 + -1y)(4 + y) = 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 '(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 = -4Solution
y = {1, -4}
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