z^2-2bz-3b^2=

Solution for z^2-2bz-3b^2= equation:

Simplifying
z2 + -2bz + -3b2 = 0

Reorder the terms:
-2bz + -3b2 + z2 = 0

Solving
-2bz + -3b2 + z2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1b + -1z)(3b + -1z) = 0

Subproblem 1
Set the factor '(-1b + -1z)' equal to zero and attempt to solve:

Simplifying
-1b + -1z = 0

Solving
-1b + -1z = 0

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

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

Combine like terms: -1z + z = 0
-1b + 0 = 0 + z
-1b = 0 + z
Remove the zero:
-1b = z

Divide each side by '-1'.
b = -1z

Simplifying
b = -1z
Subproblem 2
Set the factor '(3b + -1z)' equal to zero and attempt to solve:

Simplifying
3b + -1z = 0

Solving
3b + -1z = 0

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

Add 'z' to each side of the equation.
3b + -1z + z = 0 + z

Combine like terms: -1z + z = 0
3b + 0 = 0 + z
3b = 0 + z
Remove the zero:
3b = z

Divide each side by '3'.
b = 0.3333333333z

Simplifying
b = 0.3333333333z
Solution
b = {-1z, 0.3333333333z}