x^2(2z-1)=0

Solution for x^2(2z-1)=0 equation:

Simplifying
x2(2z + -1) = 0

Reorder the terms:
x2(-1 + 2z) = 0
(-1 * x2 + 2z * x2) = 0
(-1x2 + 2x2z) = 0

Solving
-1x2 + 2x2z = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-1 + 2z) = 0

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-1 + 2z)' equal to zero and attempt to solve:

Simplifying
-1 + 2z = 0

Solving
-1 + 2z = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2z = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -2z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}