2m^2+-4m+17=0

Solution for 2m^2+-4m+17=0 equation:

Simplifying
2m2 + -4m + 17 = 0

Reorder the terms:
17 + -4m + 2m2 = 0

Solving
17 + -4m + 2m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
8.5 + -2m + m2 = 0

Move the constant term to the right:

Add '-8.5' to each side of the equation.
8.5 + -2m + -8.5 + m2 = 0 + -8.5

Reorder the terms:
8.5 + -8.5 + -2m + m2 = 0 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -2m + m2 = 0 + -8.5
-2m + m2 = 0 + -8.5

Combine like terms: 0 + -8.5 = -8.5
-2m + m2 = -8.5

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = -8.5 + 1

Reorder the terms:
1 + -2m + m2 = -8.5 + 1

Combine like terms: -8.5 + 1 = -7.5
1 + -2m + m2 = -7.5

Factor a perfect square on the left side:
(m + -1)(m + -1) = -7.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.