n=1.76n^2-13.32+41

Solution for n=1.76n^2-13.32+41 equation:

Simplifying
n = 1.76n2 + -13.32 + 41

Reorder the terms:
n = -13.32 + 41 + 1.76n2

Combine like terms: -13.32 + 41 = 27.68
n = 27.68 + 1.76n2

Solving
n = 27.68 + 1.76n2

Solving for variable 'n'.

Reorder the terms:
-27.68 + n + -1.76n2 = 27.68 + 1.76n2 + -27.68 + -1.76n2

Reorder the terms:
-27.68 + n + -1.76n2 = 27.68 + -27.68 + 1.76n2 + -1.76n2

Combine like terms: 27.68 + -27.68 = 0.00
-27.68 + n + -1.76n2 = 0.00 + 1.76n2 + -1.76n2
-27.68 + n + -1.76n2 = 1.76n2 + -1.76n2

Combine like terms: 1.76n2 + -1.76n2 = 0.00
-27.68 + n + -1.76n2 = 0.00

Begin completing the square.  Divide all terms by
-1.76 the coefficient of the squared term: 

Divide each side by '-1.76'.
15.72727273 + -0.5681818182n + n2 = 0

Move the constant term to the right:

Add '-15.72727273' to each side of the equation.
15.72727273 + -0.5681818182n + -15.72727273 + n2 = 0 + -15.72727273

Reorder the terms:
15.72727273 + -15.72727273 + -0.5681818182n + n2 = 0 + -15.72727273

Combine like terms: 15.72727273 + -15.72727273 = 0.00000000
0.00000000 + -0.5681818182n + n2 = 0 + -15.72727273
-0.5681818182n + n2 = 0 + -15.72727273

Combine like terms: 0 + -15.72727273 = -15.72727273
-0.5681818182n + n2 = -15.72727273

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

Add '0.25' to each side of the equation.
-0.5681818182n + 0.25 + n2 = -15.72727273 + 0.25

Reorder the terms:
0.25 + -0.5681818182n + n2 = -15.72727273 + 0.25

Combine like terms: -15.72727273 + 0.25 = -15.47727273
0.25 + -0.5681818182n + n2 = -15.47727273

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -15.47727273

Can't calculate square root of the right side.

The solution to this equation could not be determined.