35n^2=-12+44n

Solution for 35n^2=-12+44n equation:

Simplifying
35n2 = -12 + 44n

Solving
35n2 = -12 + 44n

Solving for variable 'n'.

Reorder the terms:
12 + -44n + 35n2 = -12 + 44n + 12 + -44n

Reorder the terms:
12 + -44n + 35n2 = -12 + 12 + 44n + -44n

Combine like terms: -12 + 12 = 0
12 + -44n + 35n2 = 0 + 44n + -44n
12 + -44n + 35n2 = 44n + -44n

Combine like terms: 44n + -44n = 0
12 + -44n + 35n2 = 0

Factor a trinomial.
(2 + -5n)(6 + -7n) = 0

Subproblem 1
Set the factor '(2 + -5n)' equal to zero and attempt to solve:

Simplifying
2 + -5n = 0

Solving
2 + -5n = 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 + -5n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 0 + -2
-5n = 0 + -2

Combine like terms: 0 + -2 = -2
-5n = -2

Divide each side by '-5'.
n = 0.4

Simplifying
n = 0.4
Subproblem 2
Set the factor '(6 + -7n)' equal to zero and attempt to solve:

Simplifying
6 + -7n = 0

Solving
6 + -7n = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7n = 0 + -6
-7n = 0 + -6

Combine like terms: 0 + -6 = -6
-7n = -6

Divide each side by '-7'.
n = 0.8571428571

Simplifying
n = 0.8571428571
Solution
n = {0.4, 0.8571428571}