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Simplifying 9y2 + -21y + 60y2 = 0 Reorder the terms: -21y + 9y2 + 60y2 = 0 Combine like terms: 9y2 + 60y2 = 69y2 -21y + 69y2 = 0 Solving -21y + 69y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-7 + 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 '(-7 + 23y)' equal to zero and attempt to solve: Simplifying -7 + 23y = 0 Solving -7 + 23y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 23y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 23y = 0 + 7 23y = 0 + 7 Combine like terms: 0 + 7 = 7 23y = 7 Divide each side by '23'. y = 0.3043478261 Simplifying y = 0.3043478261Solution
y = {0, 0.3043478261}
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