(5m^3+2m^2-m)+(M^2+4m-2)=

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


Simplifying
(5m3 + 2m2 + -1m) + (M2 + 4m + -2) = 0

Reorder the terms:
(-1m + 2m2 + 5m3) + (M2 + 4m + -2) = 0

Remove parenthesis around (-1m + 2m2 + 5m3)
-1m + 2m2 + 5m3 + (M2 + 4m + -2) = 0

Reorder the terms:
-1m + 2m2 + 5m3 + (-2 + M2 + 4m) = 0

Remove parenthesis around (-2 + M2 + 4m)
-1m + 2m2 + 5m3 + -2 + M2 + 4m = 0

Reorder the terms:
-2 + M2 + -1m + 4m + 2m2 + 5m3 = 0

Combine like terms: -1m + 4m = 3m
-2 + M2 + 3m + 2m2 + 5m3 = 0

Solving
-2 + M2 + 3m + 2m2 + 5m3 = 0

Solving for variable 'M'.

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

Add '2' to each side of the equation.
-2 + M2 + 3m + 2m2 + 2 + 5m3 = 0 + 2

Reorder the terms:
-2 + 2 + M2 + 3m + 2m2 + 5m3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + M2 + 3m + 2m2 + 5m3 = 0 + 2
M2 + 3m + 2m2 + 5m3 = 0 + 2

Combine like terms: 0 + 2 = 2
M2 + 3m + 2m2 + 5m3 = 2

Add '-3m' to each side of the equation.
M2 + 3m + 2m2 + -3m + 5m3 = 2 + -3m

Reorder the terms:
M2 + 3m + -3m + 2m2 + 5m3 = 2 + -3m

Combine like terms: 3m + -3m = 0
M2 + 0 + 2m2 + 5m3 = 2 + -3m
M2 + 2m2 + 5m3 = 2 + -3m

Add '-2m2' to each side of the equation.
M2 + 2m2 + -2m2 + 5m3 = 2 + -3m + -2m2

Combine like terms: 2m2 + -2m2 = 0
M2 + 0 + 5m3 = 2 + -3m + -2m2
M2 + 5m3 = 2 + -3m + -2m2

Add '-5m3' to each side of the equation.
M2 + 5m3 + -5m3 = 2 + -3m + -2m2 + -5m3

Combine like terms: 5m3 + -5m3 = 0
M2 + 0 = 2 + -3m + -2m2 + -5m3
M2 = 2 + -3m + -2m2 + -5m3

Simplifying
M2 = 2 + -3m + -2m2 + -5m3

Reorder the terms:
-2 + M2 + 3m + 2m2 + 5m3 = 2 + -3m + -2m2 + -5m3 + -2 + 3m + 2m2 + 5m3

Reorder the terms:
-2 + M2 + 3m + 2m2 + 5m3 = 2 + -2 + -3m + 3m + -2m2 + 2m2 + -5m3 + 5m3

Combine like terms: 2 + -2 = 0
-2 + M2 + 3m + 2m2 + 5m3 = 0 + -3m + 3m + -2m2 + 2m2 + -5m3 + 5m3
-2 + M2 + 3m + 2m2 + 5m3 = -3m + 3m + -2m2 + 2m2 + -5m3 + 5m3

Combine like terms: -3m + 3m = 0
-2 + M2 + 3m + 2m2 + 5m3 = 0 + -2m2 + 2m2 + -5m3 + 5m3
-2 + M2 + 3m + 2m2 + 5m3 = -2m2 + 2m2 + -5m3 + 5m3

Combine like terms: -2m2 + 2m2 = 0
-2 + M2 + 3m + 2m2 + 5m3 = 0 + -5m3 + 5m3
-2 + M2 + 3m + 2m2 + 5m3 = -5m3 + 5m3

Combine like terms: -5m3 + 5m3 = 0
-2 + M2 + 3m + 2m2 + 5m3 = 0

The solution to this equation could not be determined.

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