17m=5(m^2+20)+8

Solution for 17m=5(m^2+20)+8 equation:

Simplifying
17m = 5(m2 + 20) + 8

Reorder the terms:
17m = 5(20 + m2) + 8
17m = (20 * 5 + m2 * 5) + 8
17m = (100 + 5m2) + 8

Reorder the terms:
17m = 100 + 8 + 5m2

Combine like terms: 100 + 8 = 108
17m = 108 + 5m2

Solving
17m = 108 + 5m2

Solving for variable 'm'.

Reorder the terms:
-108 + 17m + -5m2 = 108 + 5m2 + -108 + -5m2

Reorder the terms:
-108 + 17m + -5m2 = 108 + -108 + 5m2 + -5m2

Combine like terms: 108 + -108 = 0
-108 + 17m + -5m2 = 0 + 5m2 + -5m2
-108 + 17m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-108 + 17m + -5m2 = 0

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

Divide each side by '-5'.
21.6 + -3.4m + m2 = 0

Move the constant term to the right:

Add '-21.6' to each side of the equation.
21.6 + -3.4m + -21.6 + m2 = 0 + -21.6

Reorder the terms:
21.6 + -21.6 + -3.4m + m2 = 0 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -3.4m + m2 = 0 + -21.6
-3.4m + m2 = 0 + -21.6

Combine like terms: 0 + -21.6 = -21.6
-3.4m + m2 = -21.6

The m term is -3.4m.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4m + 2.89 + m2 = -21.6 + 2.89

Reorder the terms:
2.89 + -3.4m + m2 = -21.6 + 2.89

Combine like terms: -21.6 + 2.89 = -18.71
2.89 + -3.4m + m2 = -18.71

Factor a perfect square on the left side:
(m + -1.7)(m + -1.7) = -18.71

Can't calculate square root of the right side.

The solution to this equation could not be determined.