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Simplifying y2 + 18y + -2128 = 0 Reorder the terms: -2128 + 18y + y2 = 0 Solving -2128 + 18y + y2 = 0 Solving for variable 'y'. Factor a trinomial. (-56 + -1y)(38 + -1y) = 0Subproblem 1
Set the factor '(-56 + -1y)' equal to zero and attempt to solve: Simplifying -56 + -1y = 0 Solving -56 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -1y = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -1y = 0 + 56 -1y = 0 + 56 Combine like terms: 0 + 56 = 56 -1y = 56 Divide each side by '-1'. y = -56 Simplifying y = -56Subproblem 2
Set the factor '(38 + -1y)' equal to zero and attempt to solve: Simplifying 38 + -1y = 0 Solving 38 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1y = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1y = 0 + -38 -1y = 0 + -38 Combine like terms: 0 + -38 = -38 -1y = -38 Divide each side by '-1'. y = 38 Simplifying y = 38Solution
y = {-56, 38}
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