8n^2-11n=-6

Simple and best practice solution for 8n^2-11n=-6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 8n^2-11n=-6 equation:


Simplifying
8n2 + -11n = -6

Reorder the terms:
-11n + 8n2 = -6

Solving
-11n + 8n2 = -6

Solving for variable 'n'.

Reorder the terms:
6 + -11n + 8n2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -11n + 8n2 = 0

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

Divide each side by '8'.
0.75 + -1.375n + n2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.375n + -0.75 + n2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.375n + n2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.375n + n2 = 0 + -0.75
-1.375n + n2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.375n + n2 = -0.75

The n term is -1.375n.  Take half its coefficient (-0.6875).
Square it (0.47265625) and add it to both sides.

Add '0.47265625' to each side of the equation.
-1.375n + 0.47265625 + n2 = -0.75 + 0.47265625

Reorder the terms:
0.47265625 + -1.375n + n2 = -0.75 + 0.47265625

Combine like terms: -0.75 + 0.47265625 = -0.27734375
0.47265625 + -1.375n + n2 = -0.27734375

Factor a perfect square on the left side:
(n + -0.6875)(n + -0.6875) = -0.27734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2/5=4/n | | 8=23-3q | | 2x-15=-13 | | 1/3=4/r | | A=1/2bhforh | | 20-2n=2 | | 78=6(z+9) | | 7(m-99)=7 | | 2-4(3-x)+2x+5= | | 3x(2+5)-17x= | | -26-6y+y=-1 | | (x^2+2xy+y^2-9)=(y^2-4x^2) | | 4k-6=-2k-16 | | n^2-11n+34=4 | | A=(5)(6) | | y+2467=3530 | | 8x-2+4+x= | | A=(17)(23) | | 35+0.25x=53.75 | | 63x-711=82+x+x | | 4=3+2x | | 4x^3-2x^2=324 | | (11x-18)=40 | | 4x+-6y=32 | | 130=7x+3 | | 18x^2-36x+10=0 | | 5n^2+60n+160=0 | | 3(-1+4y)+5y=31 | | 7x/32 | | 1/3=1/9n | | f(X)=18x^2-36x+10 | | 7x/2x-5 |

Equations solver categories