(3m^4-3m^2+m)-(4m^3+5m^2+7m)+(m^2-m)=0

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Solution for (3m^4-3m^2+m)-(4m^3+5m^2+7m)+(m^2-m)=0 equation: 


Simplifying
(3m4 + -3m2 + m) + -1(4m3 + 5m2 + 7m) + (m2 + -1m) = 0

Reorder the terms:
(m + -3m2 + 3m4) + -1(4m3 + 5m2 + 7m) + (m2 + -1m) = 0

Remove parenthesis around (m + -3m2 + 3m4)
m + -3m2 + 3m4 + -1(4m3 + 5m2 + 7m) + (m2 + -1m) = 0

Reorder the terms:
m + -3m2 + 3m4 + -1(7m + 5m2 + 4m3) + (m2 + -1m) = 0
m + -3m2 + 3m4 + (7m * -1 + 5m2 * -1 + 4m3 * -1) + (m2 + -1m) = 0
m + -3m2 + 3m4 + (-7m + -5m2 + -4m3) + (m2 + -1m) = 0

Reorder the terms:
m + -3m2 + 3m4 + -7m + -5m2 + -4m3 + (-1m + m2) = 0

Remove parenthesis around (-1m + m2)
m + -3m2 + 3m4 + -7m + -5m2 + -4m3 + -1m + m2 = 0

Reorder the terms:
m + -7m + -1m + -3m2 + -5m2 + m2 + -4m3 + 3m4 = 0

Combine like terms: m + -7m = -6m
-6m + -1m + -3m2 + -5m2 + m2 + -4m3 + 3m4 = 0

Combine like terms: -6m + -1m = -7m
-7m + -3m2 + -5m2 + m2 + -4m3 + 3m4 = 0

Combine like terms: -3m2 + -5m2 = -8m2
-7m + -8m2 + m2 + -4m3 + 3m4 = 0

Combine like terms: -8m2 + m2 = -7m2
-7m + -7m2 + -4m3 + 3m4 = 0

Solving
-7m + -7m2 + -4m3 + 3m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-7 + -7m + -4m2 + 3m3) = 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 '(-7 + -7m + -4m2 + 3m3)' equal to zero and attempt to solve:

Simplifying
-7 + -7m + -4m2 + 3m3 = 0

Solving
-7 + -7m + -4m2 + 3m3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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