10m^2-20m+6=-6

Solution for 10m^2-20m+6=-6 equation:

Simplifying
10m2 + -20m + 6 = -6

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

Solving
6 + -20m + 10m2 = -6

Solving for variable 'm'.

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

Combine like terms: 6 + 6 = 12
12 + -20m + 10m2 = -6 + 6

Combine like terms: -6 + 6 = 0
12 + -20m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -10m + 5m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -10m + 5m2)' equal to zero and attempt to solve:

Simplifying
6 + -10m + 5m2 = 0

Solving
6 + -10m + 5m2 = 0

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

Divide each side by '5'.
1.2 + -2m + m2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -2m + -1.2 + m2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -2m + m2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -2m + m2 = 0 + -1.2
-2m + m2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-2m + m2 = -1.2

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 = -1.2 + 1

Reorder the terms:
1 + -2m + m2 = -1.2 + 1

Combine like terms: -1.2 + 1 = -0.2
1 + -2m + m2 = -0.2

Factor a perfect square on the left side:
(m + -1)(m + -1) = -0.2

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.