10m^2+25m+38=5m-6

Solution for 10m^2+25m+38=5m-6 equation:

Simplifying
10m2 + 25m + 38 = 5m + -6

Reorder the terms:
38 + 25m + 10m2 = 5m + -6

Reorder the terms:
38 + 25m + 10m2 = -6 + 5m

Solving
38 + 25m + 10m2 = -6 + 5m

Solving for variable 'm'.

Reorder the terms:
38 + 6 + 25m + -5m + 10m2 = -6 + 5m + 6 + -5m

Combine like terms: 38 + 6 = 44
44 + 25m + -5m + 10m2 = -6 + 5m + 6 + -5m

Combine like terms: 25m + -5m = 20m
44 + 20m + 10m2 = -6 + 5m + 6 + -5m

Reorder the terms:
44 + 20m + 10m2 = -6 + 6 + 5m + -5m

Combine like terms: -6 + 6 = 0
44 + 20m + 10m2 = 0 + 5m + -5m
44 + 20m + 10m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
44 + 20m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + 10m + 5m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(22 + 10m + 5m2)' equal to zero and attempt to solve:

Simplifying
22 + 10m + 5m2 = 0

Solving
22 + 10m + 5m2 = 0

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

Divide each side by '5'.
4.4 + 2m + m2 = 0

Move the constant term to the right:

Add '-4.4' to each side of the equation.
4.4 + 2m + -4.4 + m2 = 0 + -4.4

Reorder the terms:
4.4 + -4.4 + 2m + m2 = 0 + -4.4

Combine like terms: 4.4 + -4.4 = 0.0
0.0 + 2m + m2 = 0 + -4.4
2m + m2 = 0 + -4.4

Combine like terms: 0 + -4.4 = -4.4
2m + m2 = -4.4

The m term is 2m.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2m + 1 + m2 = -4.4 + 1

Reorder the terms:
1 + 2m + m2 = -4.4 + 1

Combine like terms: -4.4 + 1 = -3.4
1 + 2m + m2 = -3.4

Factor a perfect square on the left side:
(m + 1)(m + 1) = -3.4

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.