14n*n+23n-15=0

Solution for 14n*n+23n-15=0 equation:

Simplifying
14n * n + 23n + -15 = 0

Multiply n * n
14n2 + 23n + -15 = 0

Reorder the terms:
-15 + 23n + 14n2 = 0

Solving
-15 + 23n + 14n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-15 + -7n)(1 + -2n) = 0

Subproblem 1
Set the factor '(-15 + -7n)' equal to zero and attempt to solve:

Simplifying
-15 + -7n = 0

Solving
-15 + -7n = 0

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

Add '15' to each side of the equation.
-15 + 15 + -7n = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -7n = 0 + 15
-7n = 0 + 15

Combine like terms: 0 + 15 = 15
-7n = 15

Divide each side by '-7'.
n = -2.142857143

Simplifying
n = -2.142857143
Subproblem 2
Set the factor '(1 + -2n)' equal to zero and attempt to solve:

Simplifying
1 + -2n = 0

Solving
1 + -2n = 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 + -2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 0 + -1
-2n = 0 + -1

Combine like terms: 0 + -1 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5
Solution
n = {-2.142857143, 0.5}