a*a-37a+36=0

Solution for a*a-37a+36=0 equation:

Simplifying
a * a + -37a + 36 = 0

Multiply a * a
a2 + -37a + 36 = 0

Reorder the terms:
36 + -37a + a2 = 0

Solving
36 + -37a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Subproblem 2
Set the factor '(36 + -1a)' equal to zero and attempt to solve:

Simplifying
36 + -1a = 0

Solving
36 + -1a = 0

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

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

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

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

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

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