8m^2=-4+8m

Solution for 8m^2=-4+8m equation:

Simplifying
8m2 = -4 + 8m

Solving
8m2 = -4 + 8m

Solving for variable 'm'.

Reorder the terms:
4 + -8m + 8m2 = -4 + 8m + 4 + -8m

Reorder the terms:
4 + -8m + 8m2 = -4 + 4 + 8m + -8m

Combine like terms: -4 + 4 = 0
4 + -8m + 8m2 = 0 + 8m + -8m
4 + -8m + 8m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
4 + -8m + 8m2 = 0

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

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

Simplifying
1 + -2m + 2m2 = 0

Solving
1 + -2m + 2m2 = 0

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

Divide each side by '2'.
0.5 + -1m + m2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1m + -0.5 + m2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1m + m2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1m + m2 = 0 + -0.5
-1m + m2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1m + m2 = -0.5

The m term is -1m.  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.
-1m + 0.25 + m2 = -0.5 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -1m + m2 = -0.25

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -0.25

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.