(9xy-4z)(9xy-4z)=0

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Solution for (9xy-4z)(9xy-4z)=0 equation: 


Simplifying
(9xy + -4z)(9xy + -4z) = 0

Multiply (9xy + -4z) * (9xy + -4z)
(9xy * (9xy + -4z) + -4z * (9xy + -4z)) = 0
((9xy * 9xy + -4z * 9xy) + -4z * (9xy + -4z)) = 0

Reorder the terms:
((-36xyz + 81x2y2) + -4z * (9xy + -4z)) = 0
((-36xyz + 81x2y2) + -4z * (9xy + -4z)) = 0
(-36xyz + 81x2y2 + (9xy * -4z + -4z * -4z)) = 0
(-36xyz + 81x2y2 + (-36xyz + 16z2)) = 0

Reorder the terms:
(-36xyz + -36xyz + 81x2y2 + 16z2) = 0

Combine like terms: -36xyz + -36xyz = -72xyz
(-72xyz + 81x2y2 + 16z2) = 0

Solving
-72xyz + 81x2y2 + 16z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9xy + -4z)(9xy + -4z) = 0


Subproblem 1
Set the factor '(9xy + -4z)' equal to zero and attempt to solve:

Simplifying
9xy + -4z = 0

Solving
9xy + -4z = 0

Move all terms containing x to the left, all other terms to the right.

Add '4z' to each side of the equation.
9xy + -4z + 4z = 0 + 4z

Combine like terms: -4z + 4z = 0
9xy + 0 = 0 + 4z
9xy = 0 + 4z
Remove the zero:
9xy = 4z

Divide each side by '9y'.
x = 0.4444444444y-1z

Simplifying
x = 0.4444444444y-1z

Subproblem 2
Set the factor '(9xy + -4z)' equal to zero and attempt to solve:

Simplifying
9xy + -4z = 0

Solving
9xy + -4z = 0

Move all terms containing x to the left, all other terms to the right.

Add '4z' to each side of the equation.
9xy + -4z + 4z = 0 + 4z

Combine like terms: -4z + 4z = 0
9xy + 0 = 0 + 4z
9xy = 0 + 4z
Remove the zero:
9xy = 4z

Divide each side by '9y'.
x = 0.4444444444y-1z

Simplifying
x = 0.4444444444y-1z
Solution
x = {0.4444444444y-1z, 0.4444444444y-1z}

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