9n^2-54n+80=0

Simple and best practice solution for 9n^2-54n+80=0 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 9n^2-54n+80=0 equation: 


Simplifying
9n2 + -54n + 80 = 0

Reorder the terms:
80 + -54n + 9n2 = 0

Solving
80 + -54n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + -3n)(10 + -3n) = 0


Subproblem 1
Set the factor '(8 + -3n)' equal to zero and attempt to solve:

Simplifying
8 + -3n = 0

Solving
8 + -3n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = 0 + -8
-3n = 0 + -8

Combine like terms: 0 + -8 = -8
-3n = -8

Divide each side by '-3'.
n = 2.666666667

Simplifying
n = 2.666666667

Subproblem 2
Set the factor '(10 + -3n)' equal to zero and attempt to solve:

Simplifying
10 + -3n = 0

Solving
10 + -3n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -3n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3n = 0 + -10
-3n = 0 + -10

Combine like terms: 0 + -10 = -10
-3n = -10

Divide each side by '-3'.
n = 3.333333333

Simplifying
n = 3.333333333
Solution
n = {2.666666667, 3.333333333}

See similar equations:

| -7b-20=-5(2b+1) | | 350-20x=15x | | 2(2b+4)=-8 | | 6v^2-23v+20=0 | | 10x+20x=900 | | -1(3x-3)=3 | | 9p^2+22p+8=0 | | -110=-7x-8(2+5x) | | 6r^2-7r-90=0 | | 6(2b-6)=12 | | (300-3x/2)(x)= | | v^2=2AH | | P(-3)=-12(-3)-36 | | 300-3x(x)= | | y-0.8x=4.50 | | 4X-9=6X+2-9 | | 4(x-2)=-8+4x | | 3(2n+5)=45 | | -7r+6=20 | | 3*-5=9 | | 4(2a+6)=40 | | 16=-4(b-1) | | x*-4=0 | | -58=2-3n | | c=(f-32)*5/9 | | -2x^2-4x=9 | | H(-9)=-7(-9)+12 | | 3(n/4)=21 | | -5=9(a+6) | | x^2-3x+2m=0 | | 11/6x=11/3 | | -6k+3(1+3k)=9+5k |

Equations solver categories