Z^2-4z+5=(z+2)(z+9)

Solution for Z^2-4z+5=(z+2)(z+9) equation:

Simplifying
Z2 + -4z + 5 = (z + 2)(z + 9)

Reorder the terms:
5 + Z2 + -4z = (z + 2)(z + 9)

Reorder the terms:
5 + Z2 + -4z = (2 + z)(z + 9)

Reorder the terms:
5 + Z2 + -4z = (2 + z)(9 + z)

Multiply (2 + z) * (9 + z)
5 + Z2 + -4z = (2(9 + z) + z(9 + z))
5 + Z2 + -4z = ((9 * 2 + z * 2) + z(9 + z))
5 + Z2 + -4z = ((18 + 2z) + z(9 + z))
5 + Z2 + -4z = (18 + 2z + (9 * z + z * z))
5 + Z2 + -4z = (18 + 2z + (9z + z2))

Combine like terms: 2z + 9z = 11z
5 + Z2 + -4z = (18 + 11z + z2)

Solving
5 + Z2 + -4z = 18 + 11z + z2

Solving for variable 'Z'.

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

Add '-5' to each side of the equation.
5 + Z2 + -5 + -4z = 18 + 11z + -5 + z2

Reorder the terms:
5 + -5 + Z2 + -4z = 18 + 11z + -5 + z2

Combine like terms: 5 + -5 = 0
0 + Z2 + -4z = 18 + 11z + -5 + z2
Z2 + -4z = 18 + 11z + -5 + z2

Reorder the terms:
Z2 + -4z = 18 + -5 + 11z + z2

Combine like terms: 18 + -5 = 13
Z2 + -4z = 13 + 11z + z2

Add '4z' to each side of the equation.
Z2 + -4z + 4z = 13 + 11z + 4z + z2

Combine like terms: -4z + 4z = 0
Z2 + 0 = 13 + 11z + 4z + z2
Z2 = 13 + 11z + 4z + z2

Combine like terms: 11z + 4z = 15z
Z2 = 13 + 15z + z2

Simplifying
Z2 = 13 + 15z + z2

Reorder the terms:
-13 + Z2 + -15z + -1z2 = 13 + 15z + z2 + -13 + -15z + -1z2

Reorder the terms:
-13 + Z2 + -15z + -1z2 = 13 + -13 + 15z + -15z + z2 + -1z2

Combine like terms: 13 + -13 = 0
-13 + Z2 + -15z + -1z2 = 0 + 15z + -15z + z2 + -1z2
-13 + Z2 + -15z + -1z2 = 15z + -15z + z2 + -1z2

Combine like terms: 15z + -15z = 0
-13 + Z2 + -15z + -1z2 = 0 + z2 + -1z2
-13 + Z2 + -15z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
-13 + Z2 + -15z + -1z2 = 0

The solution to this equation could not be determined.