a+a+a=a^3

Solution for a+a+a=a^3 equation:

Simplifying
a + a + a = a3

Combine like terms: a + a = 2a
2a + a = a3

Combine like terms: 2a + a = 3a
3a = a3

Solving
3a = a3

Solving for variable 'a'.

Combine like terms: a3 + -1a3 = 0
3a + -1a3 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -1a2) = 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 '(3 + -1a2)' equal to zero and attempt to solve:

Simplifying
3 + -1a2 = 0

Solving
3 + -1a2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a2 = 0 + -3
-1a2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1a2 = -3

Divide each side by '-1'.
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}
Solution
a = {0, -1.732050808, 1.732050808}