-z^2+37z-36=

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

Simplifying
-1z2 + 37z + -36 = 0

Reorder the terms:
-36 + 37z + -1z2 = 0

Solving
-36 + 37z + -1z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-36 + z)(1 + -1z) = 0

Subproblem 1
Set the factor '(-36 + z)' equal to zero and attempt to solve:

Simplifying
-36 + z = 0

Solving
-36 + z = 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 + z = 0 + 36

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

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

Simplifying
z = 36
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 = {36, 1}