0=m(5m-2)+9(5-m)

Solution for 0=m(5m-2)+9(5-m) equation:

Simplifying
0 = m(5m + -2) + 9(5 + -1m)

Reorder the terms:
0 = m(-2 + 5m) + 9(5 + -1m)
0 = (-2 * m + 5m * m) + 9(5 + -1m)
0 = (-2m + 5m2) + 9(5 + -1m)
0 = -2m + 5m2 + (5 * 9 + -1m * 9)
0 = -2m + 5m2 + (45 + -9m)

Reorder the terms:
0 = 45 + -2m + -9m + 5m2

Combine like terms: -2m + -9m = -11m
0 = 45 + -11m + 5m2

Solving
0 = 45 + -11m + 5m2

Solving for variable 'm'.

Combine like terms: 0 + -45 = -45
-45 + 11m + -5m2 = 45 + -11m + 5m2 + -45 + 11m + -5m2

Reorder the terms:
-45 + 11m + -5m2 = 45 + -45 + -11m + 11m + 5m2 + -5m2

Combine like terms: 45 + -45 = 0
-45 + 11m + -5m2 = 0 + -11m + 11m + 5m2 + -5m2
-45 + 11m + -5m2 = -11m + 11m + 5m2 + -5m2

Combine like terms: -11m + 11m = 0
-45 + 11m + -5m2 = 0 + 5m2 + -5m2
-45 + 11m + -5m2 = 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-45 + 11m + -5m2 = 0

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

Divide each side by '-5'.
9 + -2.2m + m2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2.2m + -9 + m2 = 0 + -9

Reorder the terms:
9 + -9 + -2.2m + m2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2.2m + m2 = 0 + -9
-2.2m + m2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2.2m + m2 = -9

The m term is -2.2m.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2m + 1.21 + m2 = -9 + 1.21

Reorder the terms:
1.21 + -2.2m + m2 = -9 + 1.21

Combine like terms: -9 + 1.21 = -7.79
1.21 + -2.2m + m2 = -7.79

Factor a perfect square on the left side:
(m + -1.1)(m + -1.1) = -7.79

Can't calculate square root of the right side.

The solution to this equation could not be determined.