2m^2-11m+14=0

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Solution for 2m^2-11m+14=0 equation: 


Simplifying
2m2 + -11m + 14 = 0

Reorder the terms:
14 + -11m + 2m2 = 0

Solving
14 + -11m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -1m)(7 + -2m) = 0


Subproblem 1
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

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

Simplifying
7 + -2m = 0

Solving
7 + -2m = 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 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {2, 3.5}

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