a^2+10a+25=36

Solution for a^2+10a+25=36 equation:

Simplifying
a2 + 10a + 25 = 36

Reorder the terms:
25 + 10a + a2 = 36

Solving
25 + 10a + a2 = 36

Solving for variable 'a'.

Reorder the terms:
25 + -36 + 10a + a2 = 36 + -36

Combine like terms: 25 + -36 = -11
-11 + 10a + a2 = 36 + -36

Combine like terms: 36 + -36 = 0
-11 + 10a + a2 = 0

Factor a trinomial.
(-11 + -1a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-11 + -1a)' equal to zero and attempt to solve:

Simplifying
-11 + -1a = 0

Solving
-11 + -1a = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1a = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1a = 0 + 11
-1a = 0 + 11

Combine like terms: 0 + 11 = 11
-1a = 11

Divide each side by '-1'.
a = -11

Simplifying
a = -11
Subproblem 2
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
Solution
a = {-11, 1}