5ax^2-15a^2x=0

Solution for 5ax^2-15a^2x=0 equation:

Simplifying
5ax2 + -15a2x = 0

Solving
5ax2 + -15a2x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ax'.
5ax(x + -3a) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve:

Simplifying
ax = 0

Solving
ax = 0

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

Simplifying
ax = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(x + -3a)' equal to zero and attempt to solve:

Simplifying
x + -3a = 0

Reorder the terms:
-3a + x = 0

Solving
-3a + x = 0

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

Add '-1x' to each side of the equation.
-3a + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
-3a + 0 = 0 + -1x
-3a = 0 + -1x
Remove the zero:
-3a = -1x

Divide each side by '-3'.
a = 0.3333333333x

Simplifying
a = 0.3333333333x
Solution
a = {0.3333333333x}