3a^2+a=a^2

Solution for 3a^2+a=a^2 equation:

Simplifying
3a2 + a = a2

Reorder the terms:
a + 3a2 = a2

Solving
a + 3a2 = a2

Solving for variable 'a'.

Combine like terms: 3a2 + -1a2 = 2a2
a + 2a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
a + 2a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + 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 '(1 + 2a)' equal to zero and attempt to solve:

Simplifying
1 + 2a = 0

Solving
1 + 2a = 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 + 2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a = 0 + -1
2a = 0 + -1

Combine like terms: 0 + -1 = -1
2a = -1

Divide each side by '2'.
a = -0.5

Simplifying
a = -0.5
Solution
a = {0, -0.5}