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Simplifying 36x2y4 + 12xy2z + z2 = 0 Reorder the terms: 12xy2z + 36x2y4 + z2 = 0 Solving 12xy2z + 36x2y4 + z2 = 0 Solving for variable 'x'. Factor a trinomial. (6xy2 + z)(6xy2 + z) = 0Subproblem 1
Set the factor '(6xy2 + z)' equal to zero and attempt to solve: Simplifying 6xy2 + z = 0 Solving 6xy2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 6xy2 + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 6xy2 + 0 = 0 + -1z 6xy2 = 0 + -1z Remove the zero: 6xy2 = -1z Divide each side by '6y2'. x = -0.1666666667y-2z Simplifying x = -0.1666666667y-2zSubproblem 2
Set the factor '(6xy2 + z)' equal to zero and attempt to solve: Simplifying 6xy2 + z = 0 Solving 6xy2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 6xy2 + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 6xy2 + 0 = 0 + -1z 6xy2 = 0 + -1z Remove the zero: 6xy2 = -1z Divide each side by '6y2'. x = -0.1666666667y-2z Simplifying x = -0.1666666667y-2zSolution
x = {-0.1666666667y-2z, -0.1666666667y-2z}
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