v=vw+zv

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Solution for v=vw+zv equation:


Simplifying
v = vw + zv

Solving
v = vw + vz

Solving for variable 'v'.

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

Add '-1vw' to each side of the equation.
v + -1vw = vw + -1vw + vz

Combine like terms: vw + -1vw = 0
v + -1vw = 0 + vz
v + -1vw = vz

Add '-1vz' to each side of the equation.
v + -1vw + -1vz = vz + -1vz

Combine like terms: vz + -1vz = 0
v + -1vw + -1vz = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(1 + -1w + -1z) = 0

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0

Subproblem 2

Set the factor '(1 + -1w + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1w + -1z = 0 Solving 1 + -1w + -1z = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1w + -1 + -1z = 0 + -1 Reorder the terms: 1 + -1 + -1w + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w + -1z = 0 + -1 -1w + -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1w + -1z = -1 Add 'w' to each side of the equation. -1w + w + -1z = -1 + w Combine like terms: -1w + w = 0 0 + -1z = -1 + w -1z = -1 + w Add 'z' to each side of the equation. -1z + z = -1 + w + z Combine like terms: -1z + z = 0 0 = -1 + w + z Simplifying 0 = -1 + w + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

v = {0}

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