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Simplifying 2y2 + -1y + -29 + -1y2 + 2y + -1 = 0 Reorder the terms: -29 + -1 + -1y + 2y + 2y2 + -1y2 = 0 Combine like terms: -29 + -1 = -30 -30 + -1y + 2y + 2y2 + -1y2 = 0 Combine like terms: -1y + 2y = 1y -30 + 1y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 -30 + 1y + 1y2 = 0 Solving -30 + 1y + 1y2 = 0 Solving for variable 'y'. Factor a trinomial. (-6 + -1y)(5 + -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 '(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 = 5Solution
y = {-6, 5}
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