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Simplifying y2 + -13y + 30 = -12 Reorder the terms: 30 + -13y + y2 = -12 Solving 30 + -13y + y2 = -12 Solving for variable 'y'. Reorder the terms: 30 + 12 + -13y + y2 = -12 + 12 Combine like terms: 30 + 12 = 42 42 + -13y + y2 = -12 + 12 Combine like terms: -12 + 12 = 0 42 + -13y + y2 = 0 Factor a trinomial. (6 + -1y)(7 + -1y) = 0Subproblem 1
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {6, 7}
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