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Simplifying 10y4 + 25y2 = 0 Reorder the terms: 25y2 + 10y4 = 0 Solving 25y2 + 10y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(5 + 2y2) = 0 Ignore the factor 5.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 '(5 + 2y2)' equal to zero and attempt to solve: Simplifying 5 + 2y2 = 0 Solving 5 + 2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y2 = 0 + -5 2y2 = 0 + -5 Combine like terms: 0 + -5 = -5 2y2 = -5 Divide each side by '2'. y2 = -2.5 Simplifying y2 = -2.5 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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