6A^3=54A

Solution for 6A^3=54A equation:

Simplifying
6A3 = 54A

Solving
6A3 = 54A

Solving for variable 'A'.

Reorder the terms:
-54A + 6A3 = 54A + -54A

Combine like terms: 54A + -54A = 0
-54A + 6A3 = 0

Factor out the Greatest Common Factor (GCF), '6A'.
6A(-9 + A2) = 0

Factor a difference between two squares.
6A((3 + A)(-3 + A)) = 0

Ignore the factor 6.
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 + A)' equal to zero and attempt to solve:

Simplifying
3 + A = 0

Solving
3 + A = 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 + A = 0 + -3

Combine like terms: 3 + -3 = 0
0 + A = 0 + -3
A = 0 + -3

Combine like terms: 0 + -3 = -3
A = -3

Simplifying
A = -3
Subproblem 3
Set the factor '(-3 + A)' equal to zero and attempt to solve:

Simplifying
-3 + A = 0

Solving
-3 + A = 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 + A = 0 + 3

Combine like terms: -3 + 3 = 0
0 + A = 0 + 3
A = 0 + 3

Combine like terms: 0 + 3 = 3
A = 3

Simplifying
A = 3
Solution
A = {0, -3, 3}