5n^2+9-4n-3=

Solution for 5n^2+9-4n-3= equation:

Simplifying
5n2 + 9 + -4n + -3 = 0

Reorder the terms:
9 + -3 + -4n + 5n2 = 0

Combine like terms: 9 + -3 = 6
6 + -4n + 5n2 = 0

Solving
6 + -4n + 5n2 = 0

Solving for variable 'n'.

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

Divide each side by '5'.
1.2 + -0.8n + n2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.8n + -1.2 + n2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.8n + n2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.8n + n2 = 0 + -1.2
-0.8n + n2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.8n + n2 = -1.2

The n term is -0.8n.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8n + 0.16 + n2 = -1.2 + 0.16

Reorder the terms:
0.16 + -0.8n + n2 = -1.2 + 0.16

Combine like terms: -1.2 + 0.16 = -1.04
0.16 + -0.8n + n2 = -1.04

Factor a perfect square on the left side:
(n + -0.4)(n + -0.4) = -1.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.