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Simplifying 4y2(y2 + 3y) = 0 Reorder the terms: 4y2(3y + y2) = 0 (3y * 4y2 + y2 * 4y2) = 0 (12y3 + 4y4) = 0 Solving 12y3 + 4y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y3'. 4y3(3 + y) = 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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3Solution
y = {-3}
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