-2m(m-1)=3(-m+80)

Solution for -2m(m-1)=3(-m+80) equation:

Simplifying
-2m(m + -1) = 3(-1m + 80)

Reorder the terms:
-2m(-1 + m) = 3(-1m + 80)
(-1 * -2m + m * -2m) = 3(-1m + 80)
(2m + -2m2) = 3(-1m + 80)

Reorder the terms:
2m + -2m2 = 3(80 + -1m)
2m + -2m2 = (80 * 3 + -1m * 3)
2m + -2m2 = (240 + -3m)

Solving
2m + -2m2 = 240 + -3m

Solving for variable 'm'.

Reorder the terms:
-240 + 2m + 3m + -2m2 = 240 + -3m + -240 + 3m

Combine like terms: 2m + 3m = 5m
-240 + 5m + -2m2 = 240 + -3m + -240 + 3m

Reorder the terms:
-240 + 5m + -2m2 = 240 + -240 + -3m + 3m

Combine like terms: 240 + -240 = 0
-240 + 5m + -2m2 = 0 + -3m + 3m
-240 + 5m + -2m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
-240 + 5m + -2m2 = 0

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

Divide each side by '-2'.
120 + -2.5m + m2 = 0

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -2.5m + -120 + m2 = 0 + -120

Reorder the terms:
120 + -120 + -2.5m + m2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -2.5m + m2 = 0 + -120
-2.5m + m2 = 0 + -120

Combine like terms: 0 + -120 = -120
-2.5m + m2 = -120

The m term is -2.5m.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5m + 1.5625 + m2 = -120 + 1.5625

Reorder the terms:
1.5625 + -2.5m + m2 = -120 + 1.5625

Combine like terms: -120 + 1.5625 = -118.4375
1.5625 + -2.5m + m2 = -118.4375

Factor a perfect square on the left side:
(m + -1.25)(m + -1.25) = -118.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.