u(m+2)+w(m-3)=z(m-1)

Solution for u(m+2)+w(m-3)=z(m-1) equation:

Simplifying
u(m + 2) + w(m + -3) = z(m + -1)

Reorder the terms:
u(2 + m) + w(m + -3) = z(m + -1)
(2 * u + m * u) + w(m + -3) = z(m + -1)

Reorder the terms:
(mu + 2u) + w(m + -3) = z(m + -1)
(mu + 2u) + w(m + -3) = z(m + -1)

Reorder the terms:
mu + 2u + w(-3 + m) = z(m + -1)
mu + 2u + (-3 * w + m * w) = z(m + -1)

Reorder the terms:
mu + 2u + (mw + -3w) = z(m + -1)
mu + 2u + (mw + -3w) = z(m + -1)

Reorder the terms:
mu + mw + 2u + -3w = z(m + -1)

Reorder the terms:
mu + mw + 2u + -3w = z(-1 + m)
mu + mw + 2u + -3w = (-1 * z + m * z)

Reorder the terms:
mu + mw + 2u + -3w = (mz + -1z)
mu + mw + 2u + -3w = (mz + -1z)

Solving
mu + mw + 2u + -3w = mz + -1z

Solving for variable 'm'.

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

Add '-1mz' to each side of the equation.
mu + mw + 2u + -1mz + -3w = mz + -1mz + -1z

Reorder the terms:
mu + mw + -1mz + 2u + -3w = mz + -1mz + -1z

Combine like terms: mz + -1mz = 0
mu + mw + -1mz + 2u + -3w = 0 + -1z
mu + mw + -1mz + 2u + -3w = -1z

Add '-2u' to each side of the equation.
mu + mw + -1mz + 2u + -2u + -3w = -2u + -1z

Combine like terms: 2u + -2u = 0
mu + mw + -1mz + 0 + -3w = -2u + -1z
mu + mw + -1mz + -3w = -2u + -1z

Add '3w' to each side of the equation.
mu + mw + -1mz + -3w + 3w = -2u + 3w + -1z

Combine like terms: -3w + 3w = 0
mu + mw + -1mz + 0 = -2u + 3w + -1z
mu + mw + -1mz = -2u + 3w + -1z

Reorder the terms:
mu + mw + -1mz + 2u + -3w + z = -2u + 2u + 3w + -3w + -1z + z

Combine like terms: -2u + 2u = 0
mu + mw + -1mz + 2u + -3w + z = 0 + 3w + -3w + -1z + z
mu + mw + -1mz + 2u + -3w + z = 3w + -3w + -1z + z

Combine like terms: 3w + -3w = 0
mu + mw + -1mz + 2u + -3w + z = 0 + -1z + z
mu + mw + -1mz + 2u + -3w + z = -1z + z

Combine like terms: -1z + z = 0
mu + mw + -1mz + 2u + -3w + z = 0

The solution to this equation could not be determined.