7n^2-17n+10=

Solution for 7n^2-17n+10= equation:

Simplifying
7n2 + -17n + 10 = 0

Reorder the terms:
10 + -17n + 7n2 = 0

Solving
10 + -17n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -1n)(10 + -7n) = 0

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

Simplifying
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

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

Simplifying
n = 1
Subproblem 2
Set the factor '(10 + -7n)' equal to zero and attempt to solve:

Simplifying
10 + -7n = 0

Solving
10 + -7n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7n = 0 + -10
-7n = 0 + -10

Combine like terms: 0 + -10 = -10
-7n = -10

Divide each side by '-7'.
n = 1.428571429

Simplifying
n = 1.428571429
Solution
n = {1, 1.428571429}