45a^2-32a=0

Solution for 45a^2-32a=0 equation:

Simplifying
45a2 + -32a = 0

Reorder the terms:
-32a + 45a2 = 0

Solving
-32a + 45a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-32 + 45a) = 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 '(-32 + 45a)' equal to zero and attempt to solve:

Simplifying
-32 + 45a = 0

Solving
-32 + 45a = 0

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

Add '32' to each side of the equation.
-32 + 32 + 45a = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 45a = 0 + 32
45a = 0 + 32

Combine like terms: 0 + 32 = 32
45a = 32

Divide each side by '45'.
a = 0.7111111111

Simplifying
a = 0.7111111111
Solution
a = {0, 0.7111111111}