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Simplifying 120y6 + 48y4 = 0 Reorder the terms: 48y4 + 120y6 = 0 Solving 48y4 + 120y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '24y4'. 24y4(2 + 5y2) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + 5y2)' equal to zero and attempt to solve: Simplifying 2 + 5y2 = 0 Solving 2 + 5y2 = 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 + 5y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y2 = 0 + -2 5y2 = 0 + -2 Combine like terms: 0 + -2 = -2 5y2 = -2 Divide each side by '5'. y2 = -0.4 Simplifying y2 = -0.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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