10M^2-17M+3=0

Solution for 10M^2-17M+3=0 equation:

Simplifying
10M2 + -17M + 3 = 0

Reorder the terms:
3 + -17M + 10M2 = 0

Solving
3 + -17M + 10M2 = 0

Solving for variable 'M'.

Factor a trinomial.
(1 + -5M)(3 + -2M) = 0

Subproblem 1
Set the factor '(1 + -5M)' equal to zero and attempt to solve:

Simplifying
1 + -5M = 0

Solving
1 + -5M = 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 + -5M = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5M = 0 + -1
-5M = 0 + -1

Combine like terms: 0 + -1 = -1
-5M = -1

Divide each side by '-5'.
M = 0.2

Simplifying
M = 0.2
Subproblem 2
Set the factor '(3 + -2M)' equal to zero and attempt to solve:

Simplifying
3 + -2M = 0

Solving
3 + -2M = 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 + -2M = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2M = 0 + -3
-2M = 0 + -3

Combine like terms: 0 + -3 = -3
-2M = -3

Divide each side by '-2'.
M = 1.5

Simplifying
M = 1.5
Solution
M = {0.2, 1.5}