[(x)(x)y-3z][(x)(x)y-3z]=

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Solution for [(x)(x)y-3z][(x)(x)y-3z]= equation: 


Simplifying
[(x)(x) * y + -3z][(x)(x) * y + -3z] = 0

Multiply x * x
[x2 * y + -3z][(x)(x) * y + -3z] = 0

Multiply x2 * y
[x2y + -3z][(x)(x) * y + -3z] = 0

Multiply x * x
[x2y + -3z][x2 * y + -3z] = 0

Multiply x2 * y
[x2y + -3z][x2y + -3z] = 0

Multiply [x2y + -3z] * [x2y + -3z]
[x2y[x2y + -3z] + -3z * [x2y + -3z]] = 0
[[x2y * x2y + -3z * x2y] + -3z * [x2y + -3z]] = 0

Reorder the terms:
[[-3x2yz + x4y2] + -3z * [x2y + -3z]] = 0
[[-3x2yz + x4y2] + -3z * [x2y + -3z]] = 0
[-3x2yz + x4y2 + [x2y * -3z + -3z * -3z]] = 0
[-3x2yz + x4y2 + [-3x2yz + 9z2]] = 0

Reorder the terms:
[-3x2yz + -3x2yz + x4y2 + 9z2] = 0

Combine like terms: -3x2yz + -3x2yz = -6x2yz
[-6x2yz + x4y2 + 9z2] = 0

Solving
-6x2yz + x4y2 + 9z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2y + -3z)(x2y + -3z) = 0


Subproblem 1
Set the factor '(x2y + -3z)' equal to zero and attempt to solve:

Simplifying
x2y + -3z = 0

Solving
x2y + -3z = 0

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

Add '3z' to each side of the equation.
x2y + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
x2y + 0 = 0 + 3z
x2y = 0 + 3z
Remove the zero:
x2y = 3z

Divide each side by 'y'.
x2 = 3y-1z

Simplifying
x2 = 3y-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 '(x2y + -3z)' equal to zero and attempt to solve:

Simplifying
x2y + -3z = 0

Solving
x2y + -3z = 0

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

Add '3z' to each side of the equation.
x2y + -3z + 3z = 0 + 3z

Combine like terms: -3z + 3z = 0
x2y + 0 = 0 + 3z
x2y = 0 + 3z
Remove the zero:
x2y = 3z

Divide each side by 'y'.
x2 = 3y-1z

Simplifying
x2 = 3y-1z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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