49n^2-70n+16=0

Solution for 49n^2-70n+16=0 equation:

Simplifying
49n2 + -70n + 16 = 0

Reorder the terms:
16 + -70n + 49n2 = 0

Solving
16 + -70n + 49n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -7n)(8 + -7n) = 0

Subproblem 1
Set the factor '(2 + -7n)' equal to zero and attempt to solve:

Simplifying
2 + -7n = 0

Solving
2 + -7n = 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 + -7n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7n = 0 + -2
-7n = 0 + -2

Combine like terms: 0 + -2 = -2
-7n = -2

Divide each side by '-7'.
n = 0.2857142857

Simplifying
n = 0.2857142857
Subproblem 2
Set the factor '(8 + -7n)' equal to zero and attempt to solve:

Simplifying
8 + -7n = 0

Solving
8 + -7n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7n = 0 + -8
-7n = 0 + -8

Combine like terms: 0 + -8 = -8
-7n = -8

Divide each side by '-7'.
n = 1.142857143

Simplifying
n = 1.142857143
Solution
n = {0.2857142857, 1.142857143}