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Simplifying 2y2 + 4y + -198 = 0 Reorder the terms: -198 + 4y + 2y2 = 0 Solving -198 + 4y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-99 + 2y + y2) = 0 Factor a trinomial. 2((-11 + -1y)(9 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -1y)' equal to zero and attempt to solve: Simplifying -11 + -1y = 0 Solving -11 + -1y = 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 + -1y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 0 + 11 -1y = 0 + 11 Combine like terms: 0 + 11 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve: Simplifying 9 + -1y = 0 Solving 9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = 0 + -9 -1y = 0 + -9 Combine like terms: 0 + -9 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9Solution
y = {-11, 9}
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