(xyz)*2x+y=5z

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Solution for (xyz)*2x+y=5z equation: 


Simplifying
(xyz) * 2x + y = 5z

Reorder the terms for easier multiplication:
2xyz * x + y = 5z

Multiply xyz * x
2x2yz + y = 5z

Solving
2x2yz + y = 5z

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
2x2yz + y + -1y = -1y + 5z

Combine like terms: y + -1y = 0
2x2yz + 0 = -1y + 5z
2x2yz = -1y + 5z

Divide each side by '2yz'.
x2 = -0.5z-1 + 2.5y-1

Simplifying
x2 = -0.5z-1 + 2.5y-1

Reorder the terms:
x2 = 2.5y-1 + -0.5z-1

Reorder the terms:
x2 + -2.5y-1 + 0.5z-1 = 2.5y-1 + -2.5y-1 + -0.5z-1 + 0.5z-1

Combine like terms: 2.5y-1 + -2.5y-1 = 0.0
x2 + -2.5y-1 + 0.5z-1 = 0.0 + -0.5z-1 + 0.5z-1
x2 + -2.5y-1 + 0.5z-1 = -0.5z-1 + 0.5z-1

Combine like terms: -0.5z-1 + 0.5z-1 = 0.0
x2 + -2.5y-1 + 0.5z-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'z-1'.
z-1(x2z + -2.5y-1z + 0.5) = 0.0


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

Simplifying
z-1 = 0

Solving
z-1 = 0

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

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

Simplifying
0 = -1z-1

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 '(x2z + -2.5y-1z + 0.5)' equal to zero and attempt to solve:

Simplifying
x2z + -2.5y-1z + 0.5 = 0

Reorder the terms:
0.5 + x2z + -2.5y-1z = 0

Solving
0.5 + x2z + -2.5y-1z = 0

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

Add '-0.5' to each side of the equation.
0.5 + x2z + -0.5 + -2.5y-1z = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + x2z + -2.5y-1z = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x2z + -2.5y-1z = 0 + -0.5
x2z + -2.5y-1z = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
x2z + -2.5y-1z = -0.5

Add '2.5y-1z' to each side of the equation.
x2z + -2.5y-1z + 2.5y-1z = -0.5 + 2.5y-1z

Combine like terms: -2.5y-1z + 2.5y-1z = 0.0
x2z + 0.0 = -0.5 + 2.5y-1z
x2z = -0.5 + 2.5y-1z

Divide each side by 'z'.
x2 = -0.5z-1 + 2.5y-1

Simplifying
x2 = -0.5z-1 + 2.5y-1

Reorder the terms:
x2 = 2.5y-1 + -0.5z-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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