x*z+(uy-2x)(uz+xd)=0

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Solution for x*z+(uy-2x)(uz+xd)=0 equation: 


Simplifying
x * z + (uy + -2x)(uz + xd) = 0

Multiply x * z
xz + (uy + -2x)(uz + xd) = 0

Reorder the terms:
xz + (uy + -2x)(dx + uz) = 0

Multiply (uy + -2x) * (dx + uz)
xz + (uy(dx + uz) + -2x * (dx + uz)) = 0
xz + ((dx * uy + uz * uy) + -2x * (dx + uz)) = 0
xz + ((duxy + u2yz) + -2x * (dx + uz)) = 0
xz + (duxy + u2yz + (dx * -2x + uz * -2x)) = 0
xz + (duxy + u2yz + (-2dx2 + -2uxz)) = 0

Reorder the terms:
xz + (duxy + -2dx2 + -2uxz + u2yz) = 0
xz + (duxy + -2dx2 + -2uxz + u2yz) = 0

Reorder the terms:
duxy + -2dx2 + -2uxz + u2yz + xz = 0

Solving
duxy + -2dx2 + -2uxz + u2yz + xz = 0

Solving for variable 'd'.

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

Add '2uxz' to each side of the equation.
duxy + -2dx2 + -2uxz + u2yz + 2uxz + xz = 0 + 2uxz

Reorder the terms:
duxy + -2dx2 + -2uxz + 2uxz + u2yz + xz = 0 + 2uxz

Combine like terms: -2uxz + 2uxz = 0
duxy + -2dx2 + 0 + u2yz + xz = 0 + 2uxz
duxy + -2dx2 + u2yz + xz = 0 + 2uxz
Remove the zero:
duxy + -2dx2 + u2yz + xz = 2uxz

Add '-1u2yz' to each side of the equation.
duxy + -2dx2 + u2yz + -1u2yz + xz = 2uxz + -1u2yz

Combine like terms: u2yz + -1u2yz = 0
duxy + -2dx2 + 0 + xz = 2uxz + -1u2yz
duxy + -2dx2 + xz = 2uxz + -1u2yz

Add '-1xz' to each side of the equation.
duxy + -2dx2 + xz + -1xz = 2uxz + -1u2yz + -1xz

Combine like terms: xz + -1xz = 0
duxy + -2dx2 + 0 = 2uxz + -1u2yz + -1xz
duxy + -2dx2 = 2uxz + -1u2yz + -1xz

Reorder the terms:
duxy + -2dx2 + -2uxz + u2yz + xz = 2uxz + -2uxz + -1u2yz + u2yz + -1xz + xz

Combine like terms: 2uxz + -2uxz = 0
duxy + -2dx2 + -2uxz + u2yz + xz = 0 + -1u2yz + u2yz + -1xz + xz
duxy + -2dx2 + -2uxz + u2yz + xz = -1u2yz + u2yz + -1xz + xz

Combine like terms: -1u2yz + u2yz = 0
duxy + -2dx2 + -2uxz + u2yz + xz = 0 + -1xz + xz
duxy + -2dx2 + -2uxz + u2yz + xz = -1xz + xz

Combine like terms: -1xz + xz = 0
duxy + -2dx2 + -2uxz + u2yz + xz = 0

The solution to this equation could not be determined.

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