4=-5n+6n^2

Solution for 4=-5n+6n^2 equation:

Simplifying
4 = -5n + 6n2

Solving
4 = -5n + 6n2

Solving for variable 'n'.

Reorder the terms:
4 + 5n + -6n2 = -5n + 5n + 6n2 + -6n2

Combine like terms: -5n + 5n = 0
4 + 5n + -6n2 = 0 + 6n2 + -6n2
4 + 5n + -6n2 = 6n2 + -6n2

Combine like terms: 6n2 + -6n2 = 0
4 + 5n + -6n2 = 0

Factor a trinomial.
(4 + -3n)(1 + 2n) = 0

Subproblem 1
Set the factor '(4 + -3n)' equal to zero and attempt to solve:

Simplifying
4 + -3n = 0

Solving
4 + -3n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3n = 0 + -4
-3n = 0 + -4

Combine like terms: 0 + -4 = -4
-3n = -4

Divide each side by '-3'.
n = 1.333333333

Simplifying
n = 1.333333333
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 = {1.333333333, -0.5}