5m^2=-33+10m

Solution for 5m^2=-33+10m equation:

Simplifying
5m2 = -33 + 10m

Solving
5m2 = -33 + 10m

Solving for variable 'm'.

Reorder the terms:
33 + -10m + 5m2 = -33 + 10m + 33 + -10m

Reorder the terms:
33 + -10m + 5m2 = -33 + 33 + 10m + -10m

Combine like terms: -33 + 33 = 0
33 + -10m + 5m2 = 0 + 10m + -10m
33 + -10m + 5m2 = 10m + -10m

Combine like terms: 10m + -10m = 0
33 + -10m + 5m2 = 0

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

Divide each side by '5'.
6.6 + -2m + m2 = 0

Move the constant term to the right:

Add '-6.6' to each side of the equation.
6.6 + -2m + -6.6 + m2 = 0 + -6.6

Reorder the terms:
6.6 + -6.6 + -2m + m2 = 0 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + -2m + m2 = 0 + -6.6
-2m + m2 = 0 + -6.6

Combine like terms: 0 + -6.6 = -6.6
-2m + m2 = -6.6

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 = -6.6 + 1

Reorder the terms:
1 + -2m + m2 = -6.6 + 1

Combine like terms: -6.6 + 1 = -5.6
1 + -2m + m2 = -5.6

Factor a perfect square on the left side:
(m + -1)(m + -1) = -5.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.