a^2-5a+2a^2+a=

Solution for a^2-5a+2a^2+a= equation:

Simplifying
a2 + -5a + 2a2 + a = 0

Reorder the terms:
-5a + a + a2 + 2a2 = 0

Combine like terms: -5a + a = -4a
-4a + a2 + 2a2 = 0

Combine like terms: a2 + 2a2 = 3a2
-4a + 3a2 = 0

Solving
-4a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + 3a) = 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 '(-4 + 3a)' equal to zero and attempt to solve:

Simplifying
-4 + 3a = 0

Solving
-4 + 3a = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4

Combine like terms: 0 + 4 = 4
3a = 4

Divide each side by '3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}