z^2-43z=0

Solution for z^2-43z=0 equation:

Simplifying
z2 + -43z = 0

Reorder the terms:
-43z + z2 = 0

Solving
-43z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-43 + z) = 0

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

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0
Subproblem 2
Set the factor '(-43 + z)' equal to zero and attempt to solve:

Simplifying
-43 + z = 0

Solving
-43 + z = 0

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

Add '43' to each side of the equation.
-43 + 43 + z = 0 + 43

Combine like terms: -43 + 43 = 0
0 + z = 0 + 43
z = 0 + 43

Combine like terms: 0 + 43 = 43
z = 43

Simplifying
z = 43
Solution
z = {0, 43}