-5m^2-m=5

Solution for -5m^2-m=5 equation:

Simplifying
-5m2 + -1m = 5

Reorder the terms:
-1m + -5m2 = 5

Solving
-1m + -5m2 = 5

Solving for variable 'm'.

Reorder the terms:
-5 + -1m + -5m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -1m + -5m2 = 0

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

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

Simplifying
5 + m + 5m2 = 0

Solving
5 + m + 5m2 = 0

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

Divide each side by '5'.
1 + 0.2m + m2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.2m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + 0.2m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.2m + m2 = 0 + -1
0.2m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.2m + m2 = -1

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.2m + 0.25 + m2 = -1 + 0.25

Reorder the terms:
0.25 + 0.2m + m2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + 0.2m + m2 = -0.75

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -0.75

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.