4m^2+4=8m

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

Simplifying
4m2 + 4 = 8m

Reorder the terms:
4 + 4m2 = 8m

Solving
4 + 4m2 = 8m

Solving for variable 'm'.

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

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

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

Factor a trinomial.
4((1 + -1m)(1 + -1m)) = 0

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

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

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

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

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {1, 1}