14=13a+a^2

Solution for 14=13a+a^2 equation:

Simplifying
14 = 13a + a2

Solving
14 = 13a + a2

Solving for variable 'a'.

Reorder the terms:
14 + -13a + -1a2 = 13a + -13a + a2 + -1a2

Combine like terms: 13a + -13a = 0
14 + -13a + -1a2 = 0 + a2 + -1a2
14 + -13a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
14 + -13a + -1a2 = 0

Factor a trinomial.
(1 + -1a)(14 + a) = 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 '(14 + a)' equal to zero and attempt to solve:

Simplifying
14 + a = 0

Solving
14 + a = 0

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

Add '-14' to each side of the equation.
14 + -14 + a = 0 + -14

Combine like terms: 14 + -14 = 0
0 + a = 0 + -14
a = 0 + -14

Combine like terms: 0 + -14 = -14
a = -14

Simplifying
a = -14
Solution
a = {1, -14}