6x^2+5n-6=0

Solution for 6x^2+5n-6=0 equation:

Simplifying
6x2 + 5n + -6 = 0

Reorder the terms:
-6 + 5n + 6x2 = 0

Solving
-6 + 5n + 6x2 = 0

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 5n + 6 + 6x2 = 0 + 6

Reorder the terms:
-6 + 6 + 5n + 6x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5n + 6x2 = 0 + 6
5n + 6x2 = 0 + 6

Combine like terms: 0 + 6 = 6
5n + 6x2 = 6

Add '-6x2' to each side of the equation.
5n + 6x2 + -6x2 = 6 + -6x2

Combine like terms: 6x2 + -6x2 = 0
5n + 0 = 6 + -6x2
5n = 6 + -6x2

Divide each side by '5'.
n = 1.2 + -1.2x2

Simplifying
n = 1.2 + -1.2x2