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Simplifying 6y4(y2 + -5y) + 9y6 = 0 Reorder the terms: 6y4(-5y + y2) + 9y6 = 0 (-5y * 6y4 + y2 * 6y4) + 9y6 = 0 (-30y5 + 6y6) + 9y6 = 0 Combine like terms: 6y6 + 9y6 = 15y6 -30y5 + 15y6 = 0 Solving -30y5 + 15y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '15y5'. 15y5(-2 + y) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 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 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2Solution
y = {2}
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