2a*1a=47a

Solution for 2a*1a=47a equation:

Simplifying
2a * 1a = 47a

Reorder the terms for easier multiplication:
2 * 1a * a = 47a

Multiply 2 * 1
2a * a = 47a

Multiply a * a
2a2 = 47a

Solving
2a2 = 47a

Solving for variable 'a'.

Reorder the terms:
-47a + 2a2 = 47a + -47a

Combine like terms: 47a + -47a = 0
-47a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-47 + 2a) = 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 '(-47 + 2a)' equal to zero and attempt to solve:

Simplifying
-47 + 2a = 0

Solving
-47 + 2a = 0

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

Add '47' to each side of the equation.
-47 + 47 + 2a = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 2a = 0 + 47
2a = 0 + 47

Combine like terms: 0 + 47 = 47
2a = 47

Divide each side by '2'.
a = 23.5

Simplifying
a = 23.5
Solution
a = {0, 23.5}