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Simplifying 39y2 + 14y + -8 = 0 Reorder the terms: -8 + 14y + 39y2 = 0 Solving -8 + 14y + 39y2 = 0 Solving for variable 'y'. Factor a trinomial. (-2 + -3y)(4 + -13y) = 0Subproblem 1
Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(4 + -13y)' equal to zero and attempt to solve: Simplifying 4 + -13y = 0 Solving 4 + -13y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -13y = 0 + -4 -13y = 0 + -4 Combine like terms: 0 + -4 = -4 -13y = -4 Divide each side by '-13'. y = 0.3076923077 Simplifying y = 0.3076923077Solution
y = {-0.6666666667, 0.3076923077}
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