238=n(4+5n-5)

Solution for 238=n(4+5n-5) equation:

Simplifying
238 = n(4 + 5n + -5)

Reorder the terms:
238 = n(4 + -5 + 5n)

Combine like terms: 4 + -5 = -1
238 = n(-1 + 5n)
238 = (-1 * n + 5n * n)
238 = (-1n + 5n2)

Solving
238 = -1n + 5n2

Solving for variable 'n'.

Reorder the terms:
238 + n + -5n2 = -1n + n + 5n2 + -5n2

Combine like terms: -1n + n = 0
238 + n + -5n2 = 0 + 5n2 + -5n2
238 + n + -5n2 = 5n2 + -5n2

Combine like terms: 5n2 + -5n2 = 0
238 + n + -5n2 = 0

Factor a trinomial.
(7 + -1n)(34 + 5n) = 0

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

Simplifying
7 + -1n = 0

Solving
7 + -1n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 0 + -7
-1n = 0 + -7

Combine like terms: 0 + -7 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7
Subproblem 2
Set the factor '(34 + 5n)' equal to zero and attempt to solve:

Simplifying
34 + 5n = 0

Solving
34 + 5n = 0

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

Add '-34' to each side of the equation.
34 + -34 + 5n = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 5n = 0 + -34
5n = 0 + -34

Combine like terms: 0 + -34 = -34
5n = -34

Divide each side by '5'.
n = -6.8

Simplifying
n = -6.8
Solution
n = {7, -6.8}