-2m^2+66m+260=0

Solution for -2m^2+66m+260=0 equation:

Simplifying
-2m2 + 66m + 260 = 0

Reorder the terms:
260 + 66m + -2m2 = 0

Solving
260 + 66m + -2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(130 + 33m + -1m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(130 + 33m + -1m2)' equal to zero and attempt to solve:

Simplifying
130 + 33m + -1m2 = 0

Solving
130 + 33m + -1m2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-130 + -33m + m2 = 0

Move the constant term to the right:

Add '130' to each side of the equation.
-130 + -33m + 130 + m2 = 0 + 130

Reorder the terms:
-130 + 130 + -33m + m2 = 0 + 130

Combine like terms: -130 + 130 = 0
0 + -33m + m2 = 0 + 130
-33m + m2 = 0 + 130

Combine like terms: 0 + 130 = 130
-33m + m2 = 130

The m term is -33m.  Take half its coefficient (-16.5).
Square it (272.25) and add it to both sides.

Add '272.25' to each side of the equation.
-33m + 272.25 + m2 = 130 + 272.25

Reorder the terms:
272.25 + -33m + m2 = 130 + 272.25

Combine like terms: 130 + 272.25 = 402.25
272.25 + -33m + m2 = 402.25

Factor a perfect square on the left side:
(m + -16.5)(m + -16.5) = 402.25

Calculate the square root of the right side: 20.05617112

Break this problem into two subproblems by setting 
(m + -16.5) equal to 20.05617112 and -20.05617112.

Subproblem 1
m + -16.5 = 20.05617112

Simplifying
m + -16.5 = 20.05617112

Reorder the terms:
-16.5 + m = 20.05617112

Solving
-16.5 + m = 20.05617112

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '16.5' to each side of the equation.
-16.5 + 16.5 + m = 20.05617112 + 16.5

Combine like terms: -16.5 + 16.5 = 0.0
0.0 + m = 20.05617112 + 16.5
m = 20.05617112 + 16.5

Combine like terms: 20.05617112 + 16.5 = 36.55617112
m = 36.55617112

Simplifying
m = 36.55617112

Subproblem 2
m + -16.5 = -20.05617112

Simplifying
m + -16.5 = -20.05617112

Reorder the terms:
-16.5 + m = -20.05617112

Solving
-16.5 + m = -20.05617112

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '16.5' to each side of the equation.
-16.5 + 16.5 + m = -20.05617112 + 16.5

Combine like terms: -16.5 + 16.5 = 0.0
0.0 + m = -20.05617112 + 16.5
m = -20.05617112 + 16.5

Combine like terms: -20.05617112 + 16.5 = -3.55617112
m = -3.55617112

Simplifying
m = -3.55617112

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {36.55617112, -3.55617112}
Solution
m = {36.55617112, -3.55617112}