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}