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Simplifying z2 + -12zy + 36y2 = 0 Reorder the terms: -12yz + 36y2 + z2 = 0 Solving -12yz + 36y2 + z2 = 0 Solving for variable 'y'. Factor a trinomial. (6y + -1z)(6y + -1z) = 0Subproblem 1
Set the factor '(6y + -1z)' equal to zero and attempt to solve: Simplifying 6y + -1z = 0 Solving 6y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 6y + -1z + z = 0 + z Combine like terms: -1z + z = 0 6y + 0 = 0 + z 6y = 0 + z Remove the zero: 6y = z Divide each side by '6'. y = 0.1666666667z Simplifying y = 0.1666666667zSubproblem 2
Set the factor '(6y + -1z)' equal to zero and attempt to solve: Simplifying 6y + -1z = 0 Solving 6y + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 6y + -1z + z = 0 + z Combine like terms: -1z + z = 0 6y + 0 = 0 + z 6y = 0 + z Remove the zero: 6y = z Divide each side by '6'. y = 0.1666666667z Simplifying y = 0.1666666667zSolution
y = {0.1666666667z, 0.1666666667z}
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