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Simplifying -1y2 = 22y + 121 Reorder the terms: -1y2 = 121 + 22y Solving -1y2 = 121 + 22y Solving for variable 'y'. Reorder the terms: -121 + -22y + -1y2 = 121 + 22y + -121 + -22y Reorder the terms: -121 + -22y + -1y2 = 121 + -121 + 22y + -22y Combine like terms: 121 + -121 = 0 -121 + -22y + -1y2 = 0 + 22y + -22y -121 + -22y + -1y2 = 22y + -22y Combine like terms: 22y + -22y = 0 -121 + -22y + -1y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(121 + 22y + y2) = 0 Factor a trinomial. -1((11 + y)(11 + y)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Subproblem 2
Set the factor '(11 + y)' equal to zero and attempt to solve: Simplifying 11 + y = 0 Solving 11 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + y = 0 + -11 y = 0 + -11 Combine like terms: 0 + -11 = -11 y = -11 Simplifying y = -11Solution
y = {-11, -11}
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