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Simplifying y2 = y + 110 Reorder the terms: y2 = 110 + y Solving y2 = 110 + y Solving for variable 'y'. Reorder the terms: -110 + -1y + y2 = 110 + y + -110 + -1y Reorder the terms: -110 + -1y + y2 = 110 + -110 + y + -1y Combine like terms: 110 + -110 = 0 -110 + -1y + y2 = 0 + y + -1y -110 + -1y + y2 = y + -1y Combine like terms: y + -1y = 0 -110 + -1y + y2 = 0 Factor a trinomial. (-10 + -1y)(11 + -1y) = 0Subproblem 1
Set the factor '(-10 + -1y)' equal to zero and attempt to solve: Simplifying -10 + -1y = 0 Solving -10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1y = 0 + 10 -1y = 0 + 10 Combine like terms: 0 + 10 = 10 -1y = 10 Divide each side by '-1'. y = -10 Simplifying y = -10Subproblem 2
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 = 11Solution
y = {-10, 11}
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