2n^2+3n-560=0

Solution for 2n^2+3n-560=0 equation:

Simplifying
2n2 + 3n + -560 = 0

Reorder the terms:
-560 + 3n + 2n2 = 0

Solving
-560 + 3n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-35 + -2n)(16 + -1n) = 0

Subproblem 1
Set the factor '(-35 + -2n)' equal to zero and attempt to solve:

Simplifying
-35 + -2n = 0

Solving
-35 + -2n = 0

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

Add '35' to each side of the equation.
-35 + 35 + -2n = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -2n = 0 + 35
-2n = 0 + 35

Combine like terms: 0 + 35 = 35
-2n = 35

Divide each side by '-2'.
n = -17.5

Simplifying
n = -17.5
Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve:

Simplifying
16 + -1n = 0

Solving
16 + -1n = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 0 + -16
-1n = 0 + -16

Combine like terms: 0 + -16 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16
Solution
n = {-17.5, 16}