-2m(m+3)+m=60

Solution for -2m(m+3)+m=60 equation:

Simplifying
-2m(m + 3) + m = 60

Reorder the terms:
-2m(3 + m) + m = 60
(3 * -2m + m * -2m) + m = 60
(-6m + -2m2) + m = 60

Reorder the terms:
-6m + m + -2m2 = 60

Combine like terms: -6m + m = -5m
-5m + -2m2 = 60

Solving
-5m + -2m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + -5m + -2m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -5m + -2m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(60 + 5m + 2m2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(60 + 5m + 2m2)' equal to zero and attempt to solve:

Simplifying
60 + 5m + 2m2 = 0

Solving
60 + 5m + 2m2 = 0

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

Divide each side by '2'.
30 + 2.5m + m2 = 0

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 2.5m + -30 + m2 = 0 + -30

Reorder the terms:
30 + -30 + 2.5m + m2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 2.5m + m2 = 0 + -30
2.5m + m2 = 0 + -30

Combine like terms: 0 + -30 = -30
2.5m + m2 = -30

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 = -30 + 1.5625

Reorder the terms:
1.5625 + 2.5m + m2 = -30 + 1.5625

Combine like terms: -30 + 1.5625 = -28.4375
1.5625 + 2.5m + m2 = -28.4375

Factor a perfect square on the left side:
(m + 1.25)(m + 1.25) = -28.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.