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Simplifying 13y2 + 12y + -1 = 0 Reorder the terms: -1 + 12y + 13y2 = 0 Solving -1 + 12y + 13y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -1y)(1 + -13y) = 0Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve: Simplifying -1 + -1y = 0 Solving -1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = 0 + 1 -1y = 0 + 1 Combine like terms: 0 + 1 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1Subproblem 2
Set the factor '(1 + -13y)' equal to zero and attempt to solve: Simplifying 1 + -13y = 0 Solving 1 + -13y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -13y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13y = 0 + -1 -13y = 0 + -1 Combine like terms: 0 + -1 = -1 -13y = -1 Divide each side by '-13'. y = 0.07692307692 Simplifying y = 0.07692307692Solution
y = {-1, 0.07692307692}
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