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Simplifying 13y2 + -4y + -9 = 0 Reorder the terms: -9 + -4y + 13y2 = 0 Solving -9 + -4y + 13y2 = 0 Solving for variable 'y'. Factor a trinomial. (-9 + -13y)(1 + -1y) = 0Subproblem 1
Set the factor '(-9 + -13y)' equal to zero and attempt to solve: Simplifying -9 + -13y = 0 Solving -9 + -13y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -13y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -13y = 0 + 9 -13y = 0 + 9 Combine like terms: 0 + 9 = 9 -13y = 9 Divide each side by '-13'. y = -0.6923076923 Simplifying y = -0.6923076923Subproblem 2
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 = 1Solution
y = {-0.6923076923, 1}
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