=(4m^2-7m^3-4m)+(4m-7m^2-7m^3)

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Solution for =(4m^2-7m^3-4m)+(4m-7m^2-7m^3) equation: 


Simplifying
0 = (4m2 + -7m3 + -4m) + (4m + -7m2 + -7m3)

Reorder the terms:
0 = (-4m + 4m2 + -7m3) + (4m + -7m2 + -7m3)

Remove parenthesis around (-4m + 4m2 + -7m3)
0 = -4m + 4m2 + -7m3 + (4m + -7m2 + -7m3)

Remove parenthesis around (4m + -7m2 + -7m3)
0 = -4m + 4m2 + -7m3 + 4m + -7m2 + -7m3

Reorder the terms:
0 = -4m + 4m + 4m2 + -7m2 + -7m3 + -7m3

Combine like terms: -4m + 4m = 0
0 = 0 + 4m2 + -7m2 + -7m3 + -7m3
0 = 4m2 + -7m2 + -7m3 + -7m3

Combine like terms: 4m2 + -7m2 = -3m2
0 = -3m2 + -7m3 + -7m3

Combine like terms: -7m3 + -7m3 = -14m3
0 = -3m2 + -14m3

Solving
0 = -3m2 + -14m3

Solving for variable 'm'.
Remove the zero:
3m2 + 14m3 = -3m2 + -14m3 + 3m2 + 14m3

Reorder the terms:
3m2 + 14m3 = -3m2 + 3m2 + -14m3 + 14m3

Combine like terms: -3m2 + 3m2 = 0
3m2 + 14m3 = 0 + -14m3 + 14m3
3m2 + 14m3 = -14m3 + 14m3

Combine like terms: -14m3 + 14m3 = 0
3m2 + 14m3 = 0

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(3 + 14m) = 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 '(3 + 14m)' equal to zero and attempt to solve:

Simplifying
3 + 14m = 0

Solving
3 + 14m = 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 + 14m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 14m = 0 + -3
14m = 0 + -3

Combine like terms: 0 + -3 = -3
14m = -3

Divide each side by '14'.
m = -0.2142857143

Simplifying
m = -0.2142857143
Solution
m = {0, -0.2142857143}

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