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Simplifying 4y2(y4 + -6y) + 9y6 = 0 Reorder the terms: 4y2(-6y + y4) + 9y6 = 0 (-6y * 4y2 + y4 * 4y2) + 9y6 = 0 (-24y3 + 4y6) + 9y6 = 0 Combine like terms: 4y6 + 9y6 = 13y6 -24y3 + 13y6 = 0 Solving -24y3 + 13y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y3'. y3(-24 + 13y3) = 0Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 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 '(-24 + 13y3)' equal to zero and attempt to solve: Simplifying -24 + 13y3 = 0 Solving -24 + 13y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 13y3 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 13y3 = 0 + 24 13y3 = 0 + 24 Combine like terms: 0 + 24 = 24 13y3 = 24 Divide each side by '13'. y3 = 1.846153846 Simplifying y3 = 1.846153846 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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