10m^2+6=6m

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

Simplifying
10m2 + 6 = 6m

Reorder the terms:
6 + 10m2 = 6m

Solving
6 + 10m2 = 6m

Solving for variable 'm'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -3m + 5m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -3m + 5m2)' equal to zero and attempt to solve:

Simplifying
3 + -3m + 5m2 = 0

Solving
3 + -3m + 5m2 = 0

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

Divide each side by '5'.
0.6 + -0.6m + m2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.6m + -0.6 + m2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.6m + m2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.6m + m2 = 0 + -0.6
-0.6m + m2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.6m + m2 = -0.6

The m term is -0.6m.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6m + 0.09 + m2 = -0.6 + 0.09

Reorder the terms:
0.09 + -0.6m + m2 = -0.6 + 0.09

Combine like terms: -0.6 + 0.09 = -0.51
0.09 + -0.6m + m2 = -0.51

Factor a perfect square on the left side:
(m + -0.3)(m + -0.3) = -0.51

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.