4XY+2YZ=8X

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Solution for 4XY+2YZ=8X equation:


Simplifying
4XY + 2YZ = 8X

Solving
4XY + 2YZ = 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
4XY + -8X + 2YZ = 8X + -8X

Reorder the terms:
-8X + 4XY + 2YZ = 8X + -8X

Combine like terms: 8X + -8X = 0
-8X + 4XY + 2YZ = 0

Add '-2YZ' to each side of the equation.
-8X + 4XY + 2YZ + -2YZ = 0 + -2YZ

Combine like terms: 2YZ + -2YZ = 0
-8X + 4XY + 0 = 0 + -2YZ
-8X + 4XY = 0 + -2YZ
Remove the zero:
-8X + 4XY = -2YZ

Combine like terms: -2YZ + 2YZ = 0
-8X + 4XY + 2YZ = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4X + 2XY + YZ) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4X + 2XY + YZ)' equal to zero and attempt to solve: Simplifying -4X + 2XY + YZ = 0 Solving -4X + 2XY + YZ = 0 Move all terms containing X to the left, all other terms to the right. Add '-1YZ' to each side of the equation. -4X + 2XY + YZ + -1YZ = 0 + -1YZ Combine like terms: YZ + -1YZ = 0 -4X + 2XY + 0 = 0 + -1YZ -4X + 2XY = 0 + -1YZ Remove the zero: -4X + 2XY = -1YZ 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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