a^2-10a-36=3

Solution for a^2-10a-36=3 equation:

Simplifying
a2 + -10a + -36 = 3

Reorder the terms:
-36 + -10a + a2 = 3

Solving
-36 + -10a + a2 = 3

Solving for variable 'a'.

Reorder the terms:
-36 + -3 + -10a + a2 = 3 + -3

Combine like terms: -36 + -3 = -39
-39 + -10a + a2 = 3 + -3

Combine like terms: 3 + -3 = 0
-39 + -10a + a2 = 0

Factor a trinomial.
(-3 + -1a)(13 + -1a) = 0

Subproblem 1
Set the factor '(-3 + -1a)' equal to zero and attempt to solve:

Simplifying
-3 + -1a = 0

Solving
-3 + -1a = 0

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

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

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

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

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

Simplifying
a = -3
Subproblem 2
Set the factor '(13 + -1a)' equal to zero and attempt to solve:

Simplifying
13 + -1a = 0

Solving
13 + -1a = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1a = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1a = 0 + -13
-1a = 0 + -13

Combine like terms: 0 + -13 = -13
-1a = -13

Divide each side by '-1'.
a = 13

Simplifying
a = 13
Solution
a = {-3, 13}