-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)=0

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Solution for -x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)=0 equation: 


Simplifying
-1x2z(2z2 + 4xz3) + xz2(xz + 5x3z) + x2z3(3x2z + 4xz) = 0

Reorder the terms:
-1x2z(4xz3 + 2z2) + xz2(xz + 5x3z) + x2z3(3x2z + 4xz) = 0
(4xz3 * -1x2z + 2z2 * -1x2z) + xz2(xz + 5x3z) + x2z3(3x2z + 4xz) = 0

Reorder the terms:
(-2x2z3 + -4x3z4) + xz2(xz + 5x3z) + x2z3(3x2z + 4xz) = 0
(-2x2z3 + -4x3z4) + xz2(xz + 5x3z) + x2z3(3x2z + 4xz) = 0
-2x2z3 + -4x3z4 + (xz * xz2 + 5x3z * xz2) + x2z3(3x2z + 4xz) = 0
-2x2z3 + -4x3z4 + (x2z3 + 5x4z3) + x2z3(3x2z + 4xz) = 0

Reorder the terms:
-2x2z3 + -4x3z4 + x2z3 + 5x4z3 + x2z3(4xz + 3x2z) = 0
-2x2z3 + -4x3z4 + x2z3 + 5x4z3 + (4xz * x2z3 + 3x2z * x2z3) = 0
-2x2z3 + -4x3z4 + x2z3 + 5x4z3 + (4x3z4 + 3x4z4) = 0

Reorder the terms:
-2x2z3 + x2z3 + -4x3z4 + 4x3z4 + 5x4z3 + 3x4z4 = 0

Combine like terms: -2x2z3 + x2z3 = -1x2z3
-1x2z3 + -4x3z4 + 4x3z4 + 5x4z3 + 3x4z4 = 0

Combine like terms: -4x3z4 + 4x3z4 = 0
-1x2z3 + 0 + 5x4z3 + 3x4z4 = 0
-1x2z3 + 5x4z3 + 3x4z4 = 0

Solving
-1x2z3 + 5x4z3 + 3x4z4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2z3'.
x2z3(-1 + 5x2 + 3x2z) = 0


Subproblem 1
Set the factor 'x2z3' equal to zero and attempt to solve:

Simplifying
x2z3 = 0

Solving
x2z3 = 0

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

Simplifying
x2z3 = 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 '(-1 + 5x2 + 3x2z)' equal to zero and attempt to solve:

Simplifying
-1 + 5x2 + 3x2z = 0

Solving
-1 + 5x2 + 3x2z = 0

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

Add '1' to each side of the equation.
-1 + 5x2 + 1 + 3x2z = 0 + 1

Reorder the terms:
-1 + 1 + 5x2 + 3x2z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 + 3x2z = 0 + 1
5x2 + 3x2z = 0 + 1

Combine like terms: 0 + 1 = 1
5x2 + 3x2z = 1

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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