z^2-37z+36=0

Solution for z^2-37z+36=0 equation:

Simplifying
z2 + -37z + 36 = 0

Reorder the terms:
36 + -37z + z2 = 0

Solving
36 + -37z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -1z)(36 + -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 '(36 + -1z)' equal to zero and attempt to solve:

Simplifying
36 + -1z = 0

Solving
36 + -1z = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1z = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1z = 0 + -36
-1z = 0 + -36

Combine like terms: 0 + -36 = -36
-1z = -36

Divide each side by '-1'.
z = 36

Simplifying
z = 36
Solution
z = {1, 36}