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Simplifying 8y2 + -32y2 + 24y = 0 Reorder the terms: 24y + 8y2 + -32y2 = 0 Combine like terms: 8y2 + -32y2 = -24y2 24y + -24y2 = 0 Solving 24y + -24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '24y'. 24y(1 + -1y) = 0 Ignore the factor 24.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 '(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, 1}
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