z^2+11z-12=0

Solution for z^2+11z-12=0 equation:

Simplifying
z2 + 11z + -12 = 0

Reorder the terms:
-12 + 11z + z2 = 0

Solving
-12 + 11z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-12 + -1z)(1 + -1z) = 0

Subproblem 1
Set the factor '(-12 + -1z)' equal to zero and attempt to solve:

Simplifying
-12 + -1z = 0

Solving
-12 + -1z = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1z = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1z = 0 + 12
-1z = 0 + 12

Combine like terms: 0 + 12 = 12
-1z = 12

Divide each side by '-1'.
z = -12

Simplifying
z = -12
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 = {-12, 1}