24n^2-49n+2=0

Solution for 24n^2-49n+2=0 equation:

Simplifying
24n2 + -49n + 2 = 0

Reorder the terms:
2 + -49n + 24n2 = 0

Solving
2 + -49n + 24n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -24n)(2 + -1n) = 0

Subproblem 1
Set the factor '(1 + -24n)' equal to zero and attempt to solve:

Simplifying
1 + -24n = 0

Solving
1 + -24n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -24n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -24n = 0 + -1
-24n = 0 + -1

Combine like terms: 0 + -1 = -1
-24n = -1

Divide each side by '-24'.
n = 0.04166666667

Simplifying
n = 0.04166666667
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {0.04166666667, 2}