28xy^2z^4+30yz=2xyz(14yx^3+15)

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Solution for 28xy^2z^4+30yz=2xyz(14yx^3+15) equation: 


Simplifying
28xy2z4 + 30yz = 2xyz(14yx3 + 15)

Reorder the terms:
28xy2z4 + 30yz = 2xyz(15 + 14x3y)
28xy2z4 + 30yz = (15 * 2xyz + 14x3y * 2xyz)
28xy2z4 + 30yz = (30xyz + 28x4y2z)

Solving
28xy2z4 + 30yz = 30xyz + 28x4y2z

Solving for variable 'x'.

Reorder the terms:
-30xyz + 28xy2z4 + -28x4y2z + 30yz = 30xyz + 28x4y2z + -30xyz + -28x4y2z

Reorder the terms:
-30xyz + 28xy2z4 + -28x4y2z + 30yz = 30xyz + -30xyz + 28x4y2z + -28x4y2z

Combine like terms: 30xyz + -30xyz = 0
-30xyz + 28xy2z4 + -28x4y2z + 30yz = 0 + 28x4y2z + -28x4y2z
-30xyz + 28xy2z4 + -28x4y2z + 30yz = 28x4y2z + -28x4y2z

Combine like terms: 28x4y2z + -28x4y2z = 0
-30xyz + 28xy2z4 + -28x4y2z + 30yz = 0

Factor out the Greatest Common Factor (GCF), '2yz'.
2yz(-15x + 14xyz3 + -14x4y + 15) = 0

Ignore the factor 2.

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

Simplifying
yz = 0

Solving
yz = 0

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

Add '-1yz' to each side of the equation.
yz + -1yz = 0 + -1yz
Remove the zero:
0 = -1yz

Simplifying
0 = -1yz

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 '(-15x + 14xyz3 + -14x4y + 15)' equal to zero and attempt to solve:

Simplifying
-15x + 14xyz3 + -14x4y + 15 = 0

Reorder the terms:
15 + -15x + 14xyz3 + -14x4y = 0

Solving
15 + -15x + 14xyz3 + -14x4y = 0

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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