4m^2(-2m^2+7m-5)=0

Solution for 4m^2(-2m^2+7m-5)=0 equation:

Simplifying
4m2(-2m2 + 7m + -5) = 0

Reorder the terms:
4m2(-5 + 7m + -2m2) = 0
(-5 * 4m2 + 7m * 4m2 + -2m2 * 4m2) = 0
(-20m2 + 28m3 + -8m4) = 0

Solving
-20m2 + 28m3 + -8m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m2'.
4m2(-5 + 7m + -2m2) = 0

Factor a trinomial.
4m2((-5 + 2m)(1 + -1m)) = 0

Ignore the factor 4.
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 '(-5 + 2m)' equal to zero and attempt to solve:

Simplifying
-5 + 2m = 0

Solving
-5 + 2m = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2m = 0 + 5
2m = 0 + 5

Combine like terms: 0 + 5 = 5
2m = 5

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5
Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, 2.5, 1}