z^2-16z=-15

Solution for z^2-16z=-15 equation:

Simplifying
z2 + -16z = -15

Reorder the terms:
-16z + z2 = -15

Solving
-16z + z2 = -15

Solving for variable 'z'.

Reorder the terms:
15 + -16z + z2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -16z + z2 = 0

Factor a trinomial.
(1 + -1z)(15 + -1z) = 0

Subproblem 1
Set the factor '(1 + -1z)' equal to zero and attempt to solve:

Simplifying
1 + -1z = 0

Solving
1 + -1z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = 0 + -1
-1z = 0 + -1

Combine like terms: 0 + -1 = -1
-1z = -1

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Subproblem 2
Set the factor '(15 + -1z)' equal to zero and attempt to solve:

Simplifying
15 + -1z = 0

Solving
15 + -1z = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1z = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1z = 0 + -15
-1z = 0 + -15

Combine like terms: 0 + -15 = -15
-1z = -15

Divide each side by '-1'.
z = 15

Simplifying
z = 15
Solution
z = {1, 15}