4m^3-27m-40m=0

Solution for 4m^3-27m-40m=0 equation:

Simplifying
4m3 + -27m + -40m = 0

Reorder the terms:
-27m + -40m + 4m3 = 0

Combine like terms: -27m + -40m = -67m
-67m + 4m3 = 0

Solving
-67m + 4m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-67 + 4m2) = 0

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 '(-67 + 4m2)' equal to zero and attempt to solve:

Simplifying
-67 + 4m2 = 0

Solving
-67 + 4m2 = 0

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

Add '67' to each side of the equation.
-67 + 67 + 4m2 = 0 + 67

Combine like terms: -67 + 67 = 0
0 + 4m2 = 0 + 67
4m2 = 0 + 67

Combine like terms: 0 + 67 = 67
4m2 = 67

Divide each side by '4'.
m2 = 16.75

Simplifying
m2 = 16.75

Take the square root of each side:
m = {-4.092676386, 4.092676386}
Solution
m = {0, -4.092676386, 4.092676386}