35x^3y^3z^3+21x^2y^2z+28x^2yz^2=0

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Solution for 35x^3y^3z^3+21x^2y^2z+28x^2yz^2=0 equation: 


Simplifying
35x3y3z3 + 21x2y2z + 28x2yz2 = 0

Reorder the terms:
28x2yz2 + 21x2y2z + 35x3y3z3 = 0

Solving
28x2yz2 + 21x2y2z + 35x3y3z3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2yz'.
7x2yz(4z + 3y + 5xy2z2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'x2yz' equal to zero and attempt to solve:

Simplifying
x2yz = 0

Solving
x2yz = 0

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

Simplifying
x2yz = 0

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 '(4z + 3y + 5xy2z2)' equal to zero and attempt to solve:

Simplifying
4z + 3y + 5xy2z2 = 0

Reorder the terms:
5xy2z2 + 3y + 4z = 0

Solving
5xy2z2 + 3y + 4z = 0

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

Add '-3y' to each side of the equation.
5xy2z2 + 3y + -3y + 4z = 0 + -3y

Combine like terms: 3y + -3y = 0
5xy2z2 + 0 + 4z = 0 + -3y
5xy2z2 + 4z = 0 + -3y
Remove the zero:
5xy2z2 + 4z = -3y

Add '-4z' to each side of the equation.
5xy2z2 + 4z + -4z = -3y + -4z

Combine like terms: 4z + -4z = 0
5xy2z2 + 0 = -3y + -4z
5xy2z2 = -3y + -4z

Divide each side by '5y2z2'.
x = -0.6y-1z-2 + -0.8y-2z-1

Simplifying
x = -0.6y-1z-2 + -0.8y-2z-1

Reorder the terms:
x = -0.8y-2z-1 + -0.6y-1z-2
Solution
x = {-0.8y-2z-1 + -0.6y-1z-2}

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