2(5m-4)m=-2

Solution for 2(5m-4)m=-2 equation:

Simplifying
2(5m + -4) * m = -2

Reorder the terms:
2(-4 + 5m) * m = -2

Reorder the terms for easier multiplication:
2m(-4 + 5m) = -2
(-4 * 2m + 5m * 2m) = -2
(-8m + 10m2) = -2

Solving
-8m + 10m2 = -2

Solving for variable 'm'.

Reorder the terms:
2 + -8m + 10m2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -8m + 10m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4m + 5m2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -4m + 5m2)' equal to zero and attempt to solve:

Simplifying
1 + -4m + 5m2 = 0

Solving
1 + -4m + 5m2 = 0

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

Divide each side by '5'.
0.2 + -0.8m + m2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.8m + -0.2 + m2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.8m + m2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.8m + m2 = 0 + -0.2
-0.8m + m2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.8m + m2 = -0.2

The m term is -0.8m.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8m + 0.16 + m2 = -0.2 + 0.16

Reorder the terms:
0.16 + -0.8m + m2 = -0.2 + 0.16

Combine like terms: -0.2 + 0.16 = -0.04
0.16 + -0.8m + m2 = -0.04

Factor a perfect square on the left side:
(m + -0.4)(m + -0.4) = -0.04

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.