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Simplifying 2y2(8y + 6y3) = 0 (8y * 2y2 + 6y3 * 2y2) = 0 (16y3 + 12y5) = 0 Solving 16y3 + 12y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y3'. 4y3(4 + 3y2) = 0 Ignore the factor 4.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 '(4 + 3y2)' equal to zero and attempt to solve: Simplifying 4 + 3y2 = 0 Solving 4 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y2 = 0 + -4 3y2 = 0 + -4 Combine like terms: 0 + -4 = -4 3y2 = -4 Divide each side by '3'. y2 = -1.333333333 Simplifying y2 = -1.333333333 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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