(z-1)(2Z+3)=0

Solution for (z-1)(2Z+3)=0 equation:

Simplifying
(z + -1)(2Z + 3) = 0

Reorder the terms:
(-1 + z)(2Z + 3) = 0

Reorder the terms:
(-1 + z)(3 + 2Z) = 0

Multiply (-1 + z) * (3 + 2Z)
(-1(3 + 2Z) + z(3 + 2Z)) = 0
((3 * -1 + 2Z * -1) + z(3 + 2Z)) = 0
((-3 + -2Z) + z(3 + 2Z)) = 0
(-3 + -2Z + (3 * z + 2Z * z)) = 0
(-3 + -2Z + (3z + 2zZ)) = 0
(-3 + -2Z + 3z + 2zZ) = 0

Solving
-3 + -2Z + 3z + 2zZ = 0

Solving for variable 'Z'.

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

Add '3' to each side of the equation.
-3 + -2Z + 3z + 3 + 2zZ = 0 + 3

Reorder the terms:
-3 + 3 + -2Z + 3z + 2zZ = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2Z + 3z + 2zZ = 0 + 3
-2Z + 3z + 2zZ = 0 + 3

Combine like terms: 0 + 3 = 3
-2Z + 3z + 2zZ = 3

Add '-3z' to each side of the equation.
-2Z + 3z + -3z + 2zZ = 3 + -3z

Combine like terms: 3z + -3z = 0
-2Z + 0 + 2zZ = 3 + -3z
-2Z + 2zZ = 3 + -3z

Reorder the terms:
-3 + -2Z + 3z + 2zZ = 3 + -3z + -3 + 3z

Reorder the terms:
-3 + -2Z + 3z + 2zZ = 3 + -3 + -3z + 3z

Combine like terms: 3 + -3 = 0
-3 + -2Z + 3z + 2zZ = 0 + -3z + 3z
-3 + -2Z + 3z + 2zZ = -3z + 3z

Combine like terms: -3z + 3z = 0
-3 + -2Z + 3z + 2zZ = 0

The solution to this equation could not be determined.