(5-4m^2)(6m-2m^3)=

Solution for (5-4m^2)(6m-2m^3)= equation:

Simplifying
(5 + -4m2)(6m + -2m3) = 0

Multiply (5 + -4m2) * (6m + -2m3)
(5(6m + -2m3) + -4m2 * (6m + -2m3)) = 0
((6m * 5 + -2m3 * 5) + -4m2 * (6m + -2m3)) = 0
((30m + -10m3) + -4m2 * (6m + -2m3)) = 0
(30m + -10m3 + (6m * -4m2 + -2m3 * -4m2)) = 0
(30m + -10m3 + (-24m3 + 8m5)) = 0

Combine like terms: -10m3 + -24m3 = -34m3
(30m + -34m3 + 8m5) = 0

Solving
30m + -34m3 + 8m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(15 + -17m2 + 4m4) = 0

Factor a trinomial.
2m((5 + -4m2)(3 + -1m2)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(5 + -4m2)' equal to zero and attempt to solve:

Simplifying
5 + -4m2 = 0

Solving
5 + -4m2 = 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 + -4m2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4m2 = 0 + -5
-4m2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4m2 = -5

Divide each side by '-4'.
m2 = 1.25

Simplifying
m2 = 1.25

Take the square root of each side:
m = {-1.118033989, 1.118033989}
Subproblem 3
Set the factor '(3 + -1m2)' equal to zero and attempt to solve:

Simplifying
3 + -1m2 = 0

Solving
3 + -1m2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m2 = 0 + -3
-1m2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1m2 = -3

Divide each side by '-1'.
m2 = 3

Simplifying
m2 = 3

Take the square root of each side:
m = {-1.732050808, 1.732050808}
Solution
m = {0, -1.118033989, 1.118033989, -1.732050808, 1.732050808}