2n-5=4n^2

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

Simplifying
2n + -5 = 4n2

Reorder the terms:
-5 + 2n = 4n2

Solving
-5 + 2n = 4n2

Solving for variable 'n'.

Combine like terms: 4n2 + -4n2 = 0
-5 + 2n + -4n2 = 0

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

Divide each side by '-4'.
1.25 + -0.5n + n2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.5n + -1.25 + n2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.5n + n2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.5n + n2 = 0 + -1.25
-0.5n + n2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.5n + n2 = -1.25

The n term is -0.5n.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5n + 0.0625 + n2 = -1.25 + 0.0625

Reorder the terms:
0.0625 + -0.5n + n2 = -1.25 + 0.0625

Combine like terms: -1.25 + 0.0625 = -1.1875
0.0625 + -0.5n + n2 = -1.1875

Factor a perfect square on the left side:
(n + -0.25)(n + -0.25) = -1.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.