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Simplifying y2 = 13y + -30 Reorder the terms: y2 = -30 + 13y Solving y2 = -30 + 13y Solving for variable 'y'. Reorder the terms: 30 + -13y + y2 = -30 + 13y + 30 + -13y Reorder the terms: 30 + -13y + y2 = -30 + 30 + 13y + -13y Combine like terms: -30 + 30 = 0 30 + -13y + y2 = 0 + 13y + -13y 30 + -13y + y2 = 13y + -13y Combine like terms: 13y + -13y = 0 30 + -13y + y2 = 0 Factor a trinomial. (3 + -1y)(10 + -1y) = 0Subproblem 1
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Subproblem 2
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 = 10Solution
y = {3, 10}
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