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Simplifying y3 + -12y = 0 Reorder the terms: -12y + y3 = 0 Solving -12y + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-12 + 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 '(-12 + y2)' equal to zero and attempt to solve: Simplifying -12 + y2 = 0 Solving -12 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + y2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + y2 = 0 + 12 y2 = 0 + 12 Combine like terms: 0 + 12 = 12 y2 = 12 Simplifying y2 = 12 Take the square root of each side: y = {-3.464101615, 3.464101615}Solution
y = {0, -3.464101615, 3.464101615}
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