8m^2-10m+3=10

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

Simplifying
8m2 + -10m + 3 = 10

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

Solving
3 + -10m + 8m2 = 10

Solving for variable 'm'.

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

Combine like terms: 3 + -10 = -7
-7 + -10m + 8m2 = 10 + -10

Combine like terms: 10 + -10 = 0
-7 + -10m + 8m2 = 0

Factor a trinomial.
(-1 + -2m)(7 + -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 '(7 + -4m)' equal to zero and attempt to solve:

Simplifying
7 + -4m = 0

Solving
7 + -4m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = 0 + -7
-4m = 0 + -7

Combine like terms: 0 + -7 = -7
-4m = -7

Divide each side by '-4'.
m = 1.75

Simplifying
m = 1.75
Solution
m = {-0.5, 1.75}