8m^2-10m=-3

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

Simplifying
8m2 + -10m = -3

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

Solving
-10m + 8m2 = -3

Solving for variable 'm'.

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

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

Factor a trinomial.
(1 + -2m)(3 + -4m) = 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 '(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
Solution
m = {0.5, 0.75}