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Simplifying y3 + -8y = 0 Reorder the terms: -8y + y3 = 0 Solving -8y + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-8 + y2) = 0Subproblem 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 '(-8 + y2)' equal to zero and attempt to solve: Simplifying -8 + y2 = 0 Solving -8 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y2 = 0 + 8 y2 = 0 + 8 Combine like terms: 0 + 8 = 8 y2 = 8 Simplifying y2 = 8 Take the square root of each side: y = {-2.828427125, 2.828427125}Solution
y = {0, -2.828427125, 2.828427125}
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