1z^2+9z-36=0

Solution for 1z^2+9z-36=0 equation:

Simplifying
1z2 + 9z + -36 = 0

Reorder the terms:
-36 + 9z + 1z2 = 0

Solving
-36 + 9z + 1z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-12 + -1z)(3 + -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 '(3 + -1z)' equal to zero and attempt to solve:

Simplifying
3 + -1z = 0

Solving
3 + -1z = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1z = 0 + -3
-1z = 0 + -3

Combine like terms: 0 + -3 = -3
-1z = -3

Divide each side by '-1'.
z = 3

Simplifying
z = 3
Solution
z = {-12, 3}