z^2-bz-az+ab=0

Solution for z^2-bz-az+ab=0 equation:

Simplifying
z2 + -1bz + -1az + ab = 0

Reorder the terms:
ab + -1az + -1bz + z2 = 0

Solving
ab + -1az + -1bz + z2 = 0

Solving for variable 'a'.

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

Add 'bz' to each side of the equation.
ab + -1az + -1bz + bz + z2 = 0 + bz

Combine like terms: -1bz + bz = 0
ab + -1az + 0 + z2 = 0 + bz
ab + -1az + z2 = 0 + bz
Remove the zero:
ab + -1az + z2 = bz

Add '-1z2' to each side of the equation.
ab + -1az + z2 + -1z2 = bz + -1z2

Combine like terms: z2 + -1z2 = 0
ab + -1az + 0 = bz + -1z2
ab + -1az = bz + -1z2

Reorder the terms:
ab + -1az + -1bz + z2 = bz + -1bz + -1z2 + z2

Combine like terms: bz + -1bz = 0
ab + -1az + -1bz + z2 = 0 + -1z2 + z2
ab + -1az + -1bz + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
ab + -1az + -1bz + z2 = 0

The solution to this equation could not be determined.