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Simplifying 4y2z + 12yz + 9z = 0 Reorder the terms: 12yz + 4y2z + 9z = 0 Solving 12yz + 4y2z + 9z = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'z'. z(12y + 4y2 + 9) = 0 Factor a trinomial. z((2y + 3)(2y + 3)) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z 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 '(2y + 3)' equal to zero and attempt to solve: Simplifying 2y + 3 = 0 Reorder the terms: 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Subproblem 3
Set the factor '(2y + 3)' equal to zero and attempt to solve: Simplifying 2y + 3 = 0 Reorder the terms: 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Divide each side by '2'. y = -1.5 Simplifying y = -1.5Solution
y = {-1.5, -1.5}
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