0=8m^2-10m+3

Solution for 0=8m^2-10m+3 equation:

Simplifying
0 = 8m2 + -10m + 3

Reorder the terms:
0 = 3 + -10m + 8m2

Solving
0 = 3 + -10m + 8m2

Solving for variable 'm'.

Combine like terms: 0 + -3 = -3
-3 + 10m + -8m2 = 3 + -10m + 8m2 + -3 + 10m + -8m2

Reorder the terms:
-3 + 10m + -8m2 = 3 + -3 + -10m + 10m + 8m2 + -8m2

Combine like terms: 3 + -3 = 0
-3 + 10m + -8m2 = 0 + -10m + 10m + 8m2 + -8m2
-3 + 10m + -8m2 = -10m + 10m + 8m2 + -8m2

Combine like terms: -10m + 10m = 0
-3 + 10m + -8m2 = 0 + 8m2 + -8m2
-3 + 10m + -8m2 = 8m2 + -8m2

Combine like terms: 8m2 + -8m2 = 0
-3 + 10m + -8m2 = 0

Factor a trinomial.
(-3 + 4m)(1 + -2m) = 0

Subproblem 1
Set the factor '(-3 + 4m)' equal to zero and attempt to solve:

Simplifying
-3 + 4m = 0

Solving
-3 + 4m = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4m = 0 + 3
4m = 0 + 3

Combine like terms: 0 + 3 = 3
4m = 3

Divide each side by '4'.
m = 0.75

Simplifying
m = 0.75
Subproblem 2
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
Solution
m = {0.75, 0.5}