16M^2-17M+1=0

Solution for 16M^2-17M+1=0 equation:

Simplifying
16M2 + -17M + 1 = 0

Reorder the terms:
1 + -17M + 16M2 = 0

Solving
1 + -17M + 16M2 = 0

Solving for variable 'M'.

Factor a trinomial.
(1 + -16M)(1 + -1M) = 0

Subproblem 1
Set the factor '(1 + -16M)' equal to zero and attempt to solve:

Simplifying
1 + -16M = 0

Solving
1 + -16M = 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 + -16M = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16M = 0 + -1
-16M = 0 + -1

Combine like terms: 0 + -1 = -1
-16M = -1

Divide each side by '-16'.
M = 0.0625

Simplifying
M = 0.0625
Subproblem 2
Set the factor '(1 + -1M)' equal to zero and attempt to solve:

Simplifying
1 + -1M = 0

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

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

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

Divide each side by '-1'.
M = 1

Simplifying
M = 1
Solution
M = {0.0625, 1}