3m^2-10m+7=0

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Solution for 3m^2-10m+7=0 equation: 


Simplifying
3m2 + -10m + 7 = 0

Reorder the terms:
7 + -10m + 3m2 = 0

Solving
7 + -10m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -1m)(7 + -3m) = 0


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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

Simplifying
m = 1

Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {1, 2.333333333}

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