5a^4-6a^3+2a^4=

Solution for 5a^4-6a^3+2a^4= equation:

Simplifying
5a4 + -6a3 + 2a4 = 0

Reorder the terms:
-6a3 + 5a4 + 2a4 = 0

Combine like terms: 5a4 + 2a4 = 7a4
-6a3 + 7a4 = 0

Solving
-6a3 + 7a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(-6 + 7a) = 0

Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-6 + 7a)' equal to zero and attempt to solve:

Simplifying
-6 + 7a = 0

Solving
-6 + 7a = 0

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

Add '6' to each side of the equation.
-6 + 6 + 7a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7a = 0 + 6
7a = 0 + 6

Combine like terms: 0 + 6 = 6
7a = 6

Divide each side by '7'.
a = 0.8571428571

Simplifying
a = 0.8571428571
Solution
a = {0.8571428571}