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Simplifying 8y2 + -69y + 40 = 0 Reorder the terms: 40 + -69y + 8y2 = 0 Solving 40 + -69y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -8y)(8 + -1y) = 0Subproblem 1
Set the factor '(5 + -8y)' equal to zero and attempt to solve: Simplifying 5 + -8y = 0 Solving 5 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8y = 0 + -5 -8y = 0 + -5 Combine like terms: 0 + -5 = -5 -8y = -5 Divide each side by '-8'. y = 0.625 Simplifying y = 0.625Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 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 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8Solution
y = {0.625, 8}
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