5m^2-9m+7m^2-2m=5m^2-7m^2+9m-2m

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Solution for 5m^2-9m+7m^2-2m=5m^2-7m^2+9m-2m equation: 


Simplifying
5m2 + -9m + 7m2 + -2m = 5m2 + -7m2 + 9m + -2m

Reorder the terms:
-9m + -2m + 5m2 + 7m2 = 5m2 + -7m2 + 9m + -2m

Combine like terms: -9m + -2m = -11m
-11m + 5m2 + 7m2 = 5m2 + -7m2 + 9m + -2m

Combine like terms: 5m2 + 7m2 = 12m2
-11m + 12m2 = 5m2 + -7m2 + 9m + -2m

Reorder the terms:
-11m + 12m2 = 9m + -2m + 5m2 + -7m2

Combine like terms: 9m + -2m = 7m
-11m + 12m2 = 7m + 5m2 + -7m2

Combine like terms: 5m2 + -7m2 = -2m2
-11m + 12m2 = 7m + -2m2

Solving
-11m + 12m2 = 7m + -2m2

Solving for variable 'm'.

Reorder the terms:
-11m + -7m + 12m2 + 2m2 = 7m + -2m2 + -7m + 2m2

Combine like terms: -11m + -7m = -18m
-18m + 12m2 + 2m2 = 7m + -2m2 + -7m + 2m2

Combine like terms: 12m2 + 2m2 = 14m2
-18m + 14m2 = 7m + -2m2 + -7m + 2m2

Reorder the terms:
-18m + 14m2 = 7m + -7m + -2m2 + 2m2

Combine like terms: 7m + -7m = 0
-18m + 14m2 = 0 + -2m2 + 2m2
-18m + 14m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
-18m + 14m2 = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-9 + 7m) = 0

Ignore the factor 2.

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 '(-9 + 7m)' equal to zero and attempt to solve:

Simplifying
-9 + 7m = 0

Solving
-9 + 7m = 0

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

Add '9' to each side of the equation.
-9 + 9 + 7m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 7m = 0 + 9
7m = 0 + 9

Combine like terms: 0 + 9 = 9
7m = 9

Divide each side by '7'.
m = 1.285714286

Simplifying
m = 1.285714286
Solution
m = {0, 1.285714286}

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