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Simplifying 32y3 + -48y = 0 Reorder the terms: -48y + 32y3 = 0 Solving -48y + 32y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '16y'. 16y(-3 + 2y2) = 0 Ignore the factor 16.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 + 2y2)' equal to zero and attempt to solve: Simplifying -3 + 2y2 = 0 Solving -3 + 2y2 = 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 + 2y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y2 = 0 + 3 2y2 = 0 + 3 Combine like terms: 0 + 3 = 3 2y2 = 3 Divide each side by '2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}Solution
y = {0, -1.224744871, 1.224744871}
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