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Simplifying y(y) = -45 + 14y Multiply y * y y2 = -45 + 14y Solving y2 = -45 + 14y Solving for variable 'y'. Reorder the terms: 45 + -14y + y2 = -45 + 14y + 45 + -14y Reorder the terms: 45 + -14y + y2 = -45 + 45 + 14y + -14y Combine like terms: -45 + 45 = 0 45 + -14y + y2 = 0 + 14y + -14y 45 + -14y + y2 = 14y + -14y Combine like terms: 14y + -14y = 0 45 + -14y + y2 = 0 Factor a trinomial. (5 + -1y)(9 + -1y) = 0Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 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 = {5, 9}
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