x^4-7m^2+6m=0

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

Simplifying
x4 + -7m2 + 6m = 0

Reorder the terms:
6m + -7m2 + x4 = 0

Solving
6m + -7m2 + x4 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7m + -1x2)(m + -1x2) = 0

Subproblem 1
Set the factor '(-7m + -1x2)' equal to zero and attempt to solve:

Simplifying
-7m + -1x2 = 0

Solving
-7m + -1x2 = 0

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

Add 'x2' to each side of the equation.
-7m + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
-7m + 0 = 0 + x2
-7m = 0 + x2
Remove the zero:
-7m = x2

Divide each side by '-7'.
m = -0.1428571429x2

Simplifying
m = -0.1428571429x2
Subproblem 2
Set the factor '(m + -1x2)' equal to zero and attempt to solve:

Simplifying
m + -1x2 = 0

Solving
m + -1x2 = 0

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

Add 'x2' to each side of the equation.
m + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
m + 0 = 0 + x2
m = 0 + x2
Remove the zero:
m = x2

Simplifying
m = x2
Solution
m = {-0.1428571429x2, x2}