5m^2+2=m

Solution for 5m^2+2=m equation:

Simplifying
5m2 + 2 = m

Reorder the terms:
2 + 5m2 = m

Solving
2 + 5m2 = m

Solving for variable 'm'.

Reorder the terms:
2 + -1m + 5m2 = m + -1m

Combine like terms: m + -1m = 0
2 + -1m + 5m2 = 0

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

Divide each side by '5'.
0.4 + -0.2m + m2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.2m + -0.4 + m2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.2m + m2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.2m + m2 = 0 + -0.4
-0.2m + m2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.2m + m2 = -0.4

The m term is -0.2m.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2m + 0.01 + m2 = -0.4 + 0.01

Reorder the terms:
0.01 + -0.2m + m2 = -0.4 + 0.01

Combine like terms: -0.4 + 0.01 = -0.39
0.01 + -0.2m + m2 = -0.39

Factor a perfect square on the left side:
(m + -0.1)(m + -0.1) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.