(3n^2+10n-13)=0

Solution for (3n^2+10n-13)=0 equation:

Simplifying
(3n2 + 10n + -13) = 0

Reorder the terms:
(-13 + 10n + 3n2) = 0

Remove parenthesis around (-13 + 10n + 3n2)
-13 + 10n + 3n2 = 0

Solving
-13 + 10n + 3n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-13 + -3n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-13 + -3n)' equal to zero and attempt to solve:

Simplifying
-13 + -3n = 0

Solving
-13 + -3n = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3n = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3n = 0 + 13
-3n = 0 + 13

Combine like terms: 0 + 13 = 13
-3n = 13

Divide each side by '-3'.
n = -4.333333333

Simplifying
n = -4.333333333
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 = {-4.333333333, 1}