11a-a^2=10

Solution for 11a-a^2=10 equation:

Simplifying
11a + -1a2 = 10

Solving
11a + -1a2 = 10

Solving for variable 'a'.

Reorder the terms:
-10 + 11a + -1a2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 11a + -1a2 = 0

Factor a trinomial.
(-10 + a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-10 + a)' equal to zero and attempt to solve:

Simplifying
-10 + a = 0

Solving
-10 + a = 0

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

Add '10' to each side of the equation.
-10 + 10 + a = 0 + 10

Combine like terms: -10 + 10 = 0
0 + a = 0 + 10
a = 0 + 10

Combine like terms: 0 + 10 = 10
a = 10

Simplifying
a = 10
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 = {10, 1}