3m^2+5m+2=2m^2+4m+8

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Solution for 3m^2+5m+2=2m^2+4m+8 equation: 


Simplifying
3m2 + 5m + 2 = 2m2 + 4m + 8

Reorder the terms:
2 + 5m + 3m2 = 2m2 + 4m + 8

Reorder the terms:
2 + 5m + 3m2 = 8 + 4m + 2m2

Solving
2 + 5m + 3m2 = 8 + 4m + 2m2

Solving for variable 'm'.

Reorder the terms:
2 + -8 + 5m + -4m + 3m2 + -2m2 = 8 + 4m + 2m2 + -8 + -4m + -2m2

Combine like terms: 2 + -8 = -6
-6 + 5m + -4m + 3m2 + -2m2 = 8 + 4m + 2m2 + -8 + -4m + -2m2

Combine like terms: 5m + -4m = 1m
-6 + 1m + 3m2 + -2m2 = 8 + 4m + 2m2 + -8 + -4m + -2m2

Combine like terms: 3m2 + -2m2 = 1m2
-6 + 1m + 1m2 = 8 + 4m + 2m2 + -8 + -4m + -2m2

Reorder the terms:
-6 + 1m + 1m2 = 8 + -8 + 4m + -4m + 2m2 + -2m2

Combine like terms: 8 + -8 = 0
-6 + 1m + 1m2 = 0 + 4m + -4m + 2m2 + -2m2
-6 + 1m + 1m2 = 4m + -4m + 2m2 + -2m2

Combine like terms: 4m + -4m = 0
-6 + 1m + 1m2 = 0 + 2m2 + -2m2
-6 + 1m + 1m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-6 + 1m + 1m2 = 0

Factor a trinomial.
(-3 + -1m)(2 + -1m) = 0


Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve:

Simplifying
-3 + -1m = 0

Solving
-3 + -1m = 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 + -1m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 0 + 3
-1m = 0 + 3

Combine like terms: 0 + 3 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3

Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-3, 2}

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