45a^2=5a

Solution for 45a^2=5a equation:

Simplifying
45a2 = 5a

Solving
45a2 = 5a

Solving for variable 'a'.

Reorder the terms:
-5a + 45a2 = 5a + -5a

Combine like terms: 5a + -5a = 0
-5a + 45a2 = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-1 + 9a) = 0

Ignore the factor 5.
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 '(-1 + 9a)' equal to zero and attempt to solve:

Simplifying
-1 + 9a = 0

Solving
-1 + 9a = 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 + 9a = 0 + 1

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

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

Divide each side by '9'.
a = 0.1111111111

Simplifying
a = 0.1111111111
Solution
a = {0, 0.1111111111}