26x^3y^4z^2+14x^2y^6=2x^2y^4

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Solution for 26x^3y^4z^2+14x^2y^6=2x^2y^4 equation: 


Simplifying
26x3y4z2 + 14x2y6 = 2x2y4

Reorder the terms:
14x2y6 + 26x3y4z2 = 2x2y4

Solving
14x2y6 + 26x3y4z2 = 2x2y4

Solving for variable 'x'.

Reorder the terms:
-2x2y4 + 14x2y6 + 26x3y4z2 = 2x2y4 + -2x2y4

Combine like terms: 2x2y4 + -2x2y4 = 0
-2x2y4 + 14x2y6 + 26x3y4z2 = 0

Factor out the Greatest Common Factor (GCF), '2x2y4'.
2x2y4(-1 + 7y2 + 13xz2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y4' equal to zero and attempt to solve:

Simplifying
x2y4 = 0

Solving
x2y4 = 0

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

Simplifying
x2y4 = 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 + 7y2 + 13xz2)' equal to zero and attempt to solve:

Simplifying
-1 + 7y2 + 13xz2 = 0

Reorder the terms:
-1 + 13xz2 + 7y2 = 0

Solving
-1 + 13xz2 + 7y2 = 0

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

Add '1' to each side of the equation.
-1 + 13xz2 + 1 + 7y2 = 0 + 1

Reorder the terms:
-1 + 1 + 13xz2 + 7y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 13xz2 + 7y2 = 0 + 1
13xz2 + 7y2 = 0 + 1

Combine like terms: 0 + 1 = 1
13xz2 + 7y2 = 1

Add '-7y2' to each side of the equation.
13xz2 + 7y2 + -7y2 = 1 + -7y2

Combine like terms: 7y2 + -7y2 = 0
13xz2 + 0 = 1 + -7y2
13xz2 = 1 + -7y2

Divide each side by '13z2'.
x = 0.07692307692z-2 + -0.5384615385y2z-2

Simplifying
x = 0.07692307692z-2 + -0.5384615385y2z-2

Reorder the terms:
x = -0.5384615385y2z-2 + 0.07692307692z-2
Solution
x = {-0.5384615385y2z-2 + 0.07692307692z-2}

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