2N^2+3N-35=0

Solution for 2N^2+3N-35=0 equation:

Simplifying
2N2 + 3N + -35 = 0

Reorder the terms:
-35 + 3N + 2N2 = 0

Solving
-35 + 3N + 2N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(-5 + -1N)(7 + -2N) = 0

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

Simplifying
-5 + -1N = 0

Solving
-5 + -1N = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1N = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1N = 0 + 5
-1N = 0 + 5

Combine like terms: 0 + 5 = 5
-1N = 5

Divide each side by '-1'.
N = -5

Simplifying
N = -5
Subproblem 2
Set the factor '(7 + -2N)' equal to zero and attempt to solve:

Simplifying
7 + -2N = 0

Solving
7 + -2N = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2N = 0 + -7

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

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

Divide each side by '-2'.
N = 3.5

Simplifying
N = 3.5
Solution
N = {-5, 3.5}