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Simplifying 18y2 + 5 = 23y Reorder the terms: 5 + 18y2 = 23y Solving 5 + 18y2 = 23y Solving for variable 'y'. Reorder the terms: 5 + -23y + 18y2 = 23y + -23y Combine like terms: 23y + -23y = 0 5 + -23y + 18y2 = 0 Factor a trinomial. (5 + -18y)(1 + -1y) = 0Subproblem 1
Set the factor '(5 + -18y)' equal to zero and attempt to solve: Simplifying 5 + -18y = 0 Solving 5 + -18y = 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 + -18y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18y = 0 + -5 -18y = 0 + -5 Combine like terms: 0 + -5 = -5 -18y = -5 Divide each side by '-18'. y = 0.2777777778 Simplifying y = 0.2777777778Subproblem 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 = {0.2777777778, 1}
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