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Simplifying -13y = 5y2 + -6 Reorder the terms: -13y = -6 + 5y2 Solving -13y = -6 + 5y2 Solving for variable 'y'. Reorder the terms: 6 + -13y + -5y2 = -6 + 5y2 + 6 + -5y2 Reorder the terms: 6 + -13y + -5y2 = -6 + 6 + 5y2 + -5y2 Combine like terms: -6 + 6 = 0 6 + -13y + -5y2 = 0 + 5y2 + -5y2 6 + -13y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 6 + -13y + -5y2 = 0 Factor a trinomial. (2 + -5y)(3 + y) = 0Subproblem 1
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Subproblem 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 = {0.4, -3}
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