6n^2-7np-3p^2=

Solution for 6n^2-7np-3p^2= equation:

Simplifying
6n2 + -7np + -3p2 = 0

Reorder the terms:
-7np + 6n2 + -3p2 = 0

Solving
-7np + 6n2 + -3p2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2n + -3p)(3n + p) = 0

Subproblem 1
Set the factor '(2n + -3p)' equal to zero and attempt to solve:

Simplifying
2n + -3p = 0

Solving
2n + -3p = 0

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

Add '3p' to each side of the equation.
2n + -3p + 3p = 0 + 3p

Combine like terms: -3p + 3p = 0
2n + 0 = 0 + 3p
2n = 0 + 3p
Remove the zero:
2n = 3p

Divide each side by '2'.
n = 1.5p

Simplifying
n = 1.5p
Subproblem 2
Set the factor '(3n + p)' equal to zero and attempt to solve:

Simplifying
3n + p = 0

Solving
3n + p = 0

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

Add '-1p' to each side of the equation.
3n + p + -1p = 0 + -1p

Combine like terms: p + -1p = 0
3n + 0 = 0 + -1p
3n = 0 + -1p
Remove the zero:
3n = -1p

Divide each side by '3'.
n = -0.3333333333p

Simplifying
n = -0.3333333333p
Solution
n = {1.5p, -0.3333333333p}