.25m^2(8m^5-4)=0

Solution for .25m^2(8m^5-4)=0 equation:

Simplifying
0.25m2(8m5 + -4) = 0

Reorder the terms:
0.25m2(-4 + 8m5) = 0
(-4 * 0.25m2 + 8m5 * 0.25m2) = 0
(-1m2 + 2m7) = 0

Solving
-1m2 + 2m7 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-1 + 2m5) = 0

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}
Subproblem 2
Set the factor '(-1 + 2m5)' equal to zero and attempt to solve:

Simplifying
-1 + 2m5 = 0

Solving
-1 + 2m5 = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2m5 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2m5 = 0 + 1
2m5 = 0 + 1

Combine like terms: 0 + 1 = 1
2m5 = 1

Divide each side by '2'.
m5 = 0.5

Simplifying
m5 = 0.5

The solution to this equation could not be determined.

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