(Z+3)(z-7)=0

Solution for (Z+3)(z-7)=0 equation:

Simplifying
(Z + 3)(z + -7) = 0

Reorder the terms:
(3 + Z)(z + -7) = 0

Reorder the terms:
(3 + Z)(-7 + z) = 0

Multiply (3 + Z) * (-7 + z)
(3(-7 + z) + Z(-7 + z)) = 0
((-7 * 3 + z * 3) + Z(-7 + z)) = 0
((-21 + 3z) + Z(-7 + z)) = 0
(-21 + 3z + (-7 * Z + z * Z)) = 0
(-21 + 3z + (-7Z + zZ)) = 0

Reorder the terms:
(-21 + -7Z + 3z + zZ) = 0
(-21 + -7Z + 3z + zZ) = 0

Solving
-21 + -7Z + 3z + zZ = 0

Solving for variable 'Z'.

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

Add '21' to each side of the equation.
-21 + -7Z + 3z + 21 + zZ = 0 + 21

Reorder the terms:
-21 + 21 + -7Z + 3z + zZ = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -7Z + 3z + zZ = 0 + 21
-7Z + 3z + zZ = 0 + 21

Combine like terms: 0 + 21 = 21
-7Z + 3z + zZ = 21

Add '-3z' to each side of the equation.
-7Z + 3z + -3z + zZ = 21 + -3z

Combine like terms: 3z + -3z = 0
-7Z + 0 + zZ = 21 + -3z
-7Z + zZ = 21 + -3z

Reorder the terms:
-21 + -7Z + 3z + zZ = 21 + -3z + -21 + 3z

Reorder the terms:
-21 + -7Z + 3z + zZ = 21 + -21 + -3z + 3z

Combine like terms: 21 + -21 = 0
-21 + -7Z + 3z + zZ = 0 + -3z + 3z
-21 + -7Z + 3z + zZ = -3z + 3z

Combine like terms: -3z + 3z = 0
-21 + -7Z + 3z + zZ = 0

The solution to this equation could not be determined.