8m^3+12m^4-28m^5=

Solution for 8m^3+12m^4-28m^5= equation:

Simplifying
8m3 + 12m4 + -28m5 = 0

Solving
8m3 + 12m4 + -28m5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m3'.
4m3(2 + 3m + -7m2) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve:

Simplifying
m3 = 0

Solving
m3 = 0

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

Simplifying
m3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2 + 3m + -7m2)' equal to zero and attempt to solve:

Simplifying
2 + 3m + -7m2 = 0

Solving
2 + 3m + -7m2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
-0.2857142857 + -0.4285714286m + m2 = 0

Move the constant term to the right:

Add '0.2857142857' to each side of the equation.
-0.2857142857 + -0.4285714286m + 0.2857142857 + m2 = 0 + 0.2857142857

Reorder the terms:
-0.2857142857 + 0.2857142857 + -0.4285714286m + m2 = 0 + 0.2857142857

Combine like terms: -0.2857142857 + 0.2857142857 = 0.0000000000
0.0000000000 + -0.4285714286m + m2 = 0 + 0.2857142857
-0.4285714286m + m2 = 0 + 0.2857142857

Combine like terms: 0 + 0.2857142857 = 0.2857142857
-0.4285714286m + m2 = 0.2857142857

The m term is -0.4285714286m.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286m + 0.04591836735 + m2 = 0.2857142857 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286m + m2 = 0.2857142857 + 0.04591836735

Combine like terms: 0.2857142857 + 0.04591836735 = 0.33163265305
0.04591836735 + -0.4285714286m + m2 = 0.33163265305

Factor a perfect square on the left side:
(m + -0.2142857143)(m + -0.2142857143) = 0.33163265305

Calculate the square root of the right side: 0.575875553

Break this problem into two subproblems by setting 
(m + -0.2142857143) equal to 0.575875553 and -0.575875553.

Subproblem 1
m + -0.2142857143 = 0.575875553

Simplifying
m + -0.2142857143 = 0.575875553

Reorder the terms:
-0.2142857143 + m = 0.575875553

Solving
-0.2142857143 + m = 0.575875553

Solving for variable 'm'.

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

Add '0.2142857143' to each side of the equation.
-0.2142857143 + 0.2142857143 + m = 0.575875553 + 0.2142857143

Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000
0.0000000000 + m = 0.575875553 + 0.2142857143
m = 0.575875553 + 0.2142857143

Combine like terms: 0.575875553 + 0.2142857143 = 0.7901612673
m = 0.7901612673

Simplifying
m = 0.7901612673

Subproblem 2
m + -0.2142857143 = -0.575875553

Simplifying
m + -0.2142857143 = -0.575875553

Reorder the terms:
-0.2142857143 + m = -0.575875553

Solving
-0.2142857143 + m = -0.575875553

Solving for variable 'm'.

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

Add '0.2142857143' to each side of the equation.
-0.2142857143 + 0.2142857143 + m = -0.575875553 + 0.2142857143

Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000
0.0000000000 + m = -0.575875553 + 0.2142857143
m = -0.575875553 + 0.2142857143

Combine like terms: -0.575875553 + 0.2142857143 = -0.3615898387
m = -0.3615898387

Simplifying
m = -0.3615898387

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.7901612673, -0.3615898387}
Solution
m = {0.7901612673, -0.3615898387}