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Simplifying 6y2 + 13y + -8 = 0 Reorder the terms: -8 + 13y + 6y2 = 0 Solving -8 + 13y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-8 + -3y)(1 + -2y) = 0Subproblem 1
Set the factor '(-8 + -3y)' equal to zero and attempt to solve: Simplifying -8 + -3y = 0 Solving -8 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 0 + 8 -3y = 0 + 8 Combine like terms: 0 + 8 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-2.666666667, 0.5}
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