A^2-5A=36

Solution for A^2-5A=36 equation:

Simplifying
A2 + -5A = 36

Reorder the terms:
-5A + A2 = 36

Solving
-5A + A2 = 36

Solving for variable 'A'.

Reorder the terms:
-36 + -5A + A2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -5A + A2 = 0

Factor a trinomial.
(-4 + -1A)(9 + -1A) = 0

Subproblem 1
Set the factor '(-4 + -1A)' equal to zero and attempt to solve:

Simplifying
-4 + -1A = 0

Solving
-4 + -1A = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1A = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1A = 0 + 4
-1A = 0 + 4

Combine like terms: 0 + 4 = 4
-1A = 4

Divide each side by '-1'.
A = -4

Simplifying
A = -4
Subproblem 2
Set the factor '(9 + -1A)' equal to zero and attempt to solve:

Simplifying
9 + -1A = 0

Solving
9 + -1A = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1A = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1A = 0 + -9
-1A = 0 + -9

Combine like terms: 0 + -9 = -9
-1A = -9

Divide each side by '-1'.
A = 9

Simplifying
A = 9
Solution
A = {-4, 9}