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Simplifying y2 = 12y + -35 Reorder the terms: y2 = -35 + 12y Solving y2 = -35 + 12y Solving for variable 'y'. Reorder the terms: 35 + -12y + y2 = -35 + 12y + 35 + -12y Reorder the terms: 35 + -12y + y2 = -35 + 35 + 12y + -12y Combine like terms: -35 + 35 = 0 35 + -12y + y2 = 0 + 12y + -12y 35 + -12y + y2 = 12y + -12y Combine like terms: 12y + -12y = 0 35 + -12y + y2 = 0 Factor a trinomial. (5 + -1y)(7 + -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 '(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 = {5, 7}
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