0=2m^2-9m+20

Solution for 0=2m^2-9m+20 equation:

Simplifying
0 = 2m2 + -9m + 20

Reorder the terms:
0 = 20 + -9m + 2m2

Solving
0 = 20 + -9m + 2m2

Solving for variable 'm'.

Combine like terms: 0 + -20 = -20
-20 + 9m + -2m2 = 20 + -9m + 2m2 + -20 + 9m + -2m2

Reorder the terms:
-20 + 9m + -2m2 = 20 + -20 + -9m + 9m + 2m2 + -2m2

Combine like terms: 20 + -20 = 0
-20 + 9m + -2m2 = 0 + -9m + 9m + 2m2 + -2m2
-20 + 9m + -2m2 = -9m + 9m + 2m2 + -2m2

Combine like terms: -9m + 9m = 0
-20 + 9m + -2m2 = 0 + 2m2 + -2m2
-20 + 9m + -2m2 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
-20 + 9m + -2m2 = 0

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

Divide each side by '-2'.
10 + -4.5m + m2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -4.5m + -10 + m2 = 0 + -10

Reorder the terms:
10 + -10 + -4.5m + m2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4.5m + m2 = 0 + -10
-4.5m + m2 = 0 + -10

Combine like terms: 0 + -10 = -10
-4.5m + m2 = -10

The m term is -4.5m.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5m + 5.0625 + m2 = -10 + 5.0625

Reorder the terms:
5.0625 + -4.5m + m2 = -10 + 5.0625

Combine like terms: -10 + 5.0625 = -4.9375
5.0625 + -4.5m + m2 = -4.9375

Factor a perfect square on the left side:
(m + -2.25)(m + -2.25) = -4.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.