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Simplifying 12y + 69y2 + 45y = 0 Reorder the terms: 12y + 45y + 69y2 = 0 Combine like terms: 12y + 45y = 57y 57y + 69y2 = 0 Solving 57y + 69y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(19 + 23y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(19 + 23y)' equal to zero and attempt to solve: Simplifying 19 + 23y = 0 Solving 19 + 23y = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 23y = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 23y = 0 + -19 23y = 0 + -19 Combine like terms: 0 + -19 = -19 23y = -19 Divide each side by '23'. y = -0.8260869565 Simplifying y = -0.8260869565Solution
y = {0, -0.8260869565}
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