Z^2+5z+6=42

Solution for Z^2+5z+6=42 equation:

Simplifying
Z2 + 5z + 6 = 42

Reorder the terms:
6 + Z2 + 5z = 42

Solving
6 + Z2 + 5z = 42

Solving for variable 'Z'.

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

Add '-6' to each side of the equation.
6 + Z2 + -6 + 5z = 42 + -6

Reorder the terms:
6 + -6 + Z2 + 5z = 42 + -6

Combine like terms: 6 + -6 = 0
0 + Z2 + 5z = 42 + -6
Z2 + 5z = 42 + -6

Combine like terms: 42 + -6 = 36
Z2 + 5z = 36

Add '-5z' to each side of the equation.
Z2 + 5z + -5z = 36 + -5z

Combine like terms: 5z + -5z = 0
Z2 + 0 = 36 + -5z
Z2 = 36 + -5z

Simplifying
Z2 = 36 + -5z

Reorder the terms:
-36 + Z2 + 5z = 36 + -5z + -36 + 5z

Reorder the terms:
-36 + Z2 + 5z = 36 + -36 + -5z + 5z

Combine like terms: 36 + -36 = 0
-36 + Z2 + 5z = 0 + -5z + 5z
-36 + Z2 + 5z = -5z + 5z

Combine like terms: -5z + 5z = 0
-36 + Z2 + 5z = 0

The solution to this equation could not be determined.