z^2+2z-99=0

Solution for z^2+2z-99=0 equation:

Simplifying
z2 + 2z + -99 = 0

Reorder the terms:
-99 + 2z + z2 = 0

Solving
-99 + 2z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-11 + -1z)(9 + -1z) = 0

Subproblem 1
Set the factor '(-11 + -1z)' equal to zero and attempt to solve:

Simplifying
-11 + -1z = 0

Solving
-11 + -1z = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1z = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1z = 0 + 11
-1z = 0 + 11

Combine like terms: 0 + 11 = 11
-1z = 11

Divide each side by '-1'.
z = -11

Simplifying
z = -11
Subproblem 2
Set the factor '(9 + -1z)' equal to zero and attempt to solve:

Simplifying
9 + -1z = 0

Solving
9 + -1z = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1z = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1z = 0 + -9
-1z = 0 + -9

Combine like terms: 0 + -9 = -9
-1z = -9

Divide each side by '-1'.
z = 9

Simplifying
z = 9
Solution
z = {-11, 9}