(1+2z^1-1z^3)=(2z^1+1)

Solution for (1+2z^1-1z^3)=(2z^1+1) equation:

Simplifying
(1 + 2z + -1z3) = (2z + 1)

Remove parenthesis around (1 + 2z + -1z3)
1 + 2z + -1z3 = (2z + 1)

Reorder the terms:
1 + 2z + -1z3 = (1 + 2z)

Remove parenthesis around (1 + 2z)
1 + 2z + -1z3 = 1 + 2z

Add '-1' to each side of the equation.
1 + 2z + -1 + -1z3 = 1 + -1 + 2z

Reorder the terms:
1 + -1 + 2z + -1z3 = 1 + -1 + 2z

Combine like terms: 1 + -1 = 0
0 + 2z + -1z3 = 1 + -1 + 2z
2z + -1z3 = 1 + -1 + 2z

Combine like terms: 1 + -1 = 0
2z + -1z3 = 0 + 2z
2z + -1z3 = 2z

Add '-2z' to each side of the equation.
2z + -2z + -1z3 = 2z + -2z

Combine like terms: 2z + -2z = 0
0 + -1z3 = 2z + -2z
-1z3 = 2z + -2z

Combine like terms: 2z + -2z = 0
-1z3 = 0

Solving
-1z3 = 0

Solving for variable 'z'.

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

Divide each side by '-1'.
z3 = 0

Simplifying
z3 = 0

The solution to this equation could not be determined.