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Simplifying 30 = -1y2 + -13y Reorder the terms: 30 = -13y + -1y2 Solving 30 = -13y + -1y2 Solving for variable 'y'. Reorder the terms: 30 + 13y + y2 = -13y + 13y + -1y2 + y2 Combine like terms: -13y + 13y = 0 30 + 13y + y2 = 0 + -1y2 + y2 30 + 13y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 30 + 13y + y2 = 0 Factor a trinomial. (10 + y)(3 + y) = 0Subproblem 1
Set the factor '(10 + y)' equal to zero and attempt to solve: Simplifying 10 + y = 0 Solving 10 + y = 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 + y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + y = 0 + -10 y = 0 + -10 Combine like terms: 0 + -10 = -10 y = -10 Simplifying y = -10Subproblem 2
Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 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 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-10, -3}
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