a^3+a^3=64a

Solution for a^3+a^3=64a equation:

Simplifying
a3 + a3 = 64a

Combine like terms: a3 + a3 = 2a3
2a3 = 64a

Solving
2a3 = 64a

Solving for variable 'a'.

Reorder the terms:
-64a + 2a3 = 64a + -64a

Combine like terms: 64a + -64a = 0
-64a + 2a3 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-32 + a2) = 0

Ignore the factor 2.
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 + a2)' equal to zero and attempt to solve:

Simplifying
-32 + a2 = 0

Solving
-32 + a2 = 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 + a2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + a2 = 0 + 32
a2 = 0 + 32

Combine like terms: 0 + 32 = 32
a2 = 32

Simplifying
a2 = 32

Take the square root of each side:
a = {-5.656854249, 5.656854249}
Solution
a = {0, -5.656854249, 5.656854249}