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Simplifying 9y4 + -3y2 = 0 Reorder the terms: -3y2 + 9y4 = 0 Solving -3y2 + 9y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y2'. 3y2(-1 + 3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-1 + 3y2)' equal to zero and attempt to solve: Simplifying -1 + 3y2 = 0 Solving -1 + 3y2 = 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 + 3y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3y2 = 0 + 1 3y2 = 0 + 1 Combine like terms: 0 + 1 = 1 3y2 = 1 Divide each side by '3'. y2 = 0.3333333333 Simplifying y2 = 0.3333333333 Take the square root of each side: y = {-0.577350269, 0.577350269}Solution
y = {0, -0.577350269, 0.577350269}
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