24x^3y^3z^3+16x^2y^2z+40x^2yz^2=

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Solution for 24x^3y^3z^3+16x^2y^2z+40x^2yz^2= equation: 


Simplifying
24x3y3z3 + 16x2y2z + 40x2yz2 = 0

Reorder the terms:
40x2yz2 + 16x2y2z + 24x3y3z3 = 0

Solving
40x2yz2 + 16x2y2z + 24x3y3z3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2yz'.
8x2yz(5z + 2y + 3xy2z2) = 0

Ignore the factor 8.

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 '(5z + 2y + 3xy2z2)' equal to zero and attempt to solve:

Simplifying
5z + 2y + 3xy2z2 = 0

Reorder the terms:
3xy2z2 + 2y + 5z = 0

Solving
3xy2z2 + 2y + 5z = 0

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

Add '-2y' to each side of the equation.
3xy2z2 + 2y + -2y + 5z = 0 + -2y

Combine like terms: 2y + -2y = 0
3xy2z2 + 0 + 5z = 0 + -2y
3xy2z2 + 5z = 0 + -2y
Remove the zero:
3xy2z2 + 5z = -2y

Add '-5z' to each side of the equation.
3xy2z2 + 5z + -5z = -2y + -5z

Combine like terms: 5z + -5z = 0
3xy2z2 + 0 = -2y + -5z
3xy2z2 = -2y + -5z

Divide each side by '3y2z2'.
x = -0.6666666667y-1z-2 + -1.666666667y-2z-1

Simplifying
x = -0.6666666667y-1z-2 + -1.666666667y-2z-1

Reorder the terms:
x = -1.666666667y-2z-1 + -0.6666666667y-1z-2
Solution
x = {-1.666666667y-2z-1 + -0.6666666667y-1z-2}

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