2a*3a=6a

Solution for 2a*3a=6a equation:

Simplifying
2a * 3a = 6a

Reorder the terms for easier multiplication:
2 * 3a * a = 6a

Multiply 2 * 3
6a * a = 6a

Multiply a * a
6a2 = 6a

Solving
6a2 = 6a

Solving for variable 'a'.

Reorder the terms:
-6a + 6a2 = 6a + -6a

Combine like terms: 6a + -6a = 0
-6a + 6a2 = 0

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-1 + 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 '(-1 + a)' equal to zero and attempt to solve:

Simplifying
-1 + a = 0

Solving
-1 + a = 0

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

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

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

Combine like terms: 0 + 1 = 1
a = 1

Simplifying
a = 1
Solution
a = {0, 1}