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Simplifying 8y2 + -23y + -3 = 0 Reorder the terms: -3 + -23y + 8y2 = 0 Solving -3 + -23y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -8y)(3 + -1y) = 0Subproblem 1
Set the factor '(-1 + -8y)' equal to zero and attempt to solve: Simplifying -1 + -8y = 0 Solving -1 + -8y = 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 + -8y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8y = 0 + 1 -8y = 0 + 1 Combine like terms: 0 + 1 = 1 -8y = 1 Divide each side by '-8'. y = -0.125 Simplifying y = -0.125Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {-0.125, 3}
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