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Simplifying 36y4 + 24y2 = 0 Reorder the terms: 24y2 + 36y4 = 0 Solving 24y2 + 36y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '12y2'. 12y2(2 + 3y2) = 0 Ignore the factor 12.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 '(2 + 3y2)' equal to zero and attempt to solve: Simplifying 2 + 3y2 = 0 Solving 2 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y2 = 0 + -2 3y2 = 0 + -2 Combine like terms: 0 + -2 = -2 3y2 = -2 Divide each side by '3'. y2 = -0.6666666667 Simplifying y2 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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