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Simplifying -24y2 + -9y = 0 Reorder the terms: -9y + -24y2 = 0 Solving -9y + -24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-3y'. -3y(3 + 8y) = 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 '(3 + 8y)' equal to zero and attempt to solve: Simplifying 3 + 8y = 0 Solving 3 + 8y = 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 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Divide each side by '8'. y = -0.375 Simplifying y = -0.375Solution
y = {0, -0.375}
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