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Simplifying 5y2(10y + 6y4) = 0 (10y * 5y2 + 6y4 * 5y2) = 0 (50y3 + 30y6) = 0 Solving 50y3 + 30y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '10y3'. 10y3(5 + 3y3) = 0 Ignore the factor 10.Subproblem 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 '(5 + 3y3)' equal to zero and attempt to solve: Simplifying 5 + 3y3 = 0 Solving 5 + 3y3 = 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 + 3y3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y3 = 0 + -5 3y3 = 0 + -5 Combine like terms: 0 + -5 = -5 3y3 = -5 Divide each side by '3'. y3 = -1.666666667 Simplifying y3 = -1.666666667 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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