7n^2-10n+10=7

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

Simplifying
7n2 + -10n + 10 = 7

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

Solving
10 + -10n + 7n2 = 7

Solving for variable 'n'.

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

Combine like terms: 10 + -7 = 3
3 + -10n + 7n2 = 7 + -7

Combine like terms: 7 + -7 = 0
3 + -10n + 7n2 = 0

Factor a trinomial.
(3 + -7n)(1 + -1n) = 0

Subproblem 1
Set the factor '(3 + -7n)' equal to zero and attempt to solve:

Simplifying
3 + -7n = 0

Solving
3 + -7n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7n = 0 + -3
-7n = 0 + -3

Combine like terms: 0 + -3 = -3
-7n = -3

Divide each side by '-7'.
n = 0.4285714286

Simplifying
n = 0.4285714286
Subproblem 2
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
Solution
n = {0.4285714286, 1}