(M^2+3m+2)=(2m^2-6m+4)

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Solution for (M^2+3m+2)=(2m^2-6m+4) equation: 


Simplifying
(M2 + 3m + 2) = (2m2 + -6m + 4)

Reorder the terms:
(2 + M2 + 3m) = (2m2 + -6m + 4)

Remove parenthesis around (2 + M2 + 3m)
2 + M2 + 3m = (2m2 + -6m + 4)

Reorder the terms:
2 + M2 + 3m = (4 + -6m + 2m2)

Remove parenthesis around (4 + -6m + 2m2)
2 + M2 + 3m = 4 + -6m + 2m2

Solving
2 + M2 + 3m = 4 + -6m + 2m2

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 + -2 + 3m = 4 + -6m + -2 + 2m2

Reorder the terms:
2 + -2 + M2 + 3m = 4 + -6m + -2 + 2m2

Combine like terms: 2 + -2 = 0
0 + M2 + 3m = 4 + -6m + -2 + 2m2
M2 + 3m = 4 + -6m + -2 + 2m2

Reorder the terms:
M2 + 3m = 4 + -2 + -6m + 2m2

Combine like terms: 4 + -2 = 2
M2 + 3m = 2 + -6m + 2m2

Add '-3m' to each side of the equation.
M2 + 3m + -3m = 2 + -6m + -3m + 2m2

Combine like terms: 3m + -3m = 0
M2 + 0 = 2 + -6m + -3m + 2m2
M2 = 2 + -6m + -3m + 2m2

Combine like terms: -6m + -3m = -9m
M2 = 2 + -9m + 2m2

Simplifying
M2 = 2 + -9m + 2m2

Reorder the terms:
-2 + M2 + 9m + -2m2 = 2 + -9m + 2m2 + -2 + 9m + -2m2

Reorder the terms:
-2 + M2 + 9m + -2m2 = 2 + -2 + -9m + 9m + 2m2 + -2m2

Combine like terms: 2 + -2 = 0
-2 + M2 + 9m + -2m2 = 0 + -9m + 9m + 2m2 + -2m2
-2 + M2 + 9m + -2m2 = -9m + 9m + 2m2 + -2m2

Combine like terms: -9m + 9m = 0
-2 + M2 + 9m + -2m2 = 0 + 2m2 + -2m2
-2 + M2 + 9m + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-2 + M2 + 9m + -2m2 = 0

The solution to this equation could not be determined.

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