r^4-7r^2+6r=0

Solution for r^4-7r^2+6r=0 equation:

Simplifying
r4 + -7r2 + 6r = 0

Reorder the terms:
6r + -7r2 + r4 = 0

Solving
6r + -7r2 + r4 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(6 + -7r + r3) = 0

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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(6 + -7r + r3)' equal to zero and attempt to solve:

Simplifying
6 + -7r + r3 = 0

Solving
6 + -7r + r3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}