4m^2-8m-3=2

Solution for 4m^2-8m-3=2 equation:

Simplifying
4m2 + -8m + -3 = 2

Reorder the terms:
-3 + -8m + 4m2 = 2

Solving
-3 + -8m + 4m2 = 2

Solving for variable 'm'.

Reorder the terms:
-3 + -2 + -8m + 4m2 = 2 + -2

Combine like terms: -3 + -2 = -5
-5 + -8m + 4m2 = 2 + -2

Combine like terms: 2 + -2 = 0
-5 + -8m + 4m2 = 0

Factor a trinomial.
(-1 + -2m)(5 + -2m) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve:

Simplifying
5 + -2m = 0

Solving
5 + -2m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = 0 + -5
-2m = 0 + -5

Combine like terms: 0 + -5 = -5
-2m = -5

Divide each side by '-2'.
m = 2.5

Simplifying
m = 2.5
Solution
m = {-0.5, 2.5}