z^2+15z-16=0

Solution for z^2+15z-16=0 equation:

Simplifying
z2 + 15z + -16 = 0

Reorder the terms:
-16 + 15z + z2 = 0

Solving
-16 + 15z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-16 + -1z)(1 + -1z) = 0

Subproblem 1
Set the factor '(-16 + -1z)' equal to zero and attempt to solve:

Simplifying
-16 + -1z = 0

Solving
-16 + -1z = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1z = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1z = 0 + 16
-1z = 0 + 16

Combine like terms: 0 + 16 = 16
-1z = 16

Divide each side by '-1'.
z = -16

Simplifying
z = -16
Subproblem 2
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
Solution
z = {-16, 1}