5(n-2)-14=-3n-(5-4n)n

Solution for 5(n-2)-14=-3n-(5-4n)n equation:

Simplifying
5(n + -2) + -14 = -3n + -1(5 + -4n) * n

Reorder the terms:
5(-2 + n) + -14 = -3n + -1(5 + -4n) * n
(-2 * 5 + n * 5) + -14 = -3n + -1(5 + -4n) * n
(-10 + 5n) + -14 = -3n + -1(5 + -4n) * n

Reorder the terms:
-10 + -14 + 5n = -3n + -1(5 + -4n) * n

Combine like terms: -10 + -14 = -24
-24 + 5n = -3n + -1(5 + -4n) * n

Reorder the terms for easier multiplication:
-24 + 5n = -3n + -1n(5 + -4n)
-24 + 5n = -3n + (5 * -1n + -4n * -1n)
-24 + 5n = -3n + (-5n + 4n2)

Combine like terms: -3n + -5n = -8n
-24 + 5n = -8n + 4n2

Solving
-24 + 5n = -8n + 4n2

Solving for variable 'n'.

Combine like terms: 5n + 8n = 13n
-24 + 13n + -4n2 = -8n + 4n2 + 8n + -4n2

Reorder the terms:
-24 + 13n + -4n2 = -8n + 8n + 4n2 + -4n2

Combine like terms: -8n + 8n = 0
-24 + 13n + -4n2 = 0 + 4n2 + -4n2
-24 + 13n + -4n2 = 4n2 + -4n2

Combine like terms: 4n2 + -4n2 = 0
-24 + 13n + -4n2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
6 + -3.25n + n2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.25n + -6 + n2 = 0 + -6

Reorder the terms:
6 + -6 + -3.25n + n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.25n + n2 = 0 + -6
-3.25n + n2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.25n + n2 = -6

The n term is -3.25n.  Take half its coefficient (-1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
-3.25n + 2.640625 + n2 = -6 + 2.640625

Reorder the terms:
2.640625 + -3.25n + n2 = -6 + 2.640625

Combine like terms: -6 + 2.640625 = -3.359375
2.640625 + -3.25n + n2 = -3.359375

Factor a perfect square on the left side:
(n + -1.625)(n + -1.625) = -3.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.