a(9)=a^2

Solution for a(9)=a^2 equation:

Simplifying
a(9) = a2

Reorder the terms for easier multiplication:
9a = a2

Solving
9a = a2

Solving for variable 'a'.

Combine like terms: a2 + -1a2 = 0
9a + -1a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + -1a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
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 = {0, 9}