(n+8)(5n+8)=0

Simple and best practice solution for (n+8)(5n+8)=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 (n+8)(5n+8)=0 equation: 


Simplifying
(n + 8)(5n + 8) = 0

Reorder the terms:
(8 + n)(5n + 8) = 0

Reorder the terms:
(8 + n)(8 + 5n) = 0

Multiply (8 + n) * (8 + 5n)
(8(8 + 5n) + n(8 + 5n)) = 0
((8 * 8 + 5n * 8) + n(8 + 5n)) = 0
((64 + 40n) + n(8 + 5n)) = 0
(64 + 40n + (8 * n + 5n * n)) = 0
(64 + 40n + (8n + 5n2)) = 0

Combine like terms: 40n + 8n = 48n
(64 + 48n + 5n2) = 0

Solving
64 + 48n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + n)(8 + 5n) = 0


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

Simplifying
8 + n = 0

Solving
8 + n = 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 + n = 0 + -8

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

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

Simplifying
n = -8

Subproblem 2
Set the factor '(8 + 5n)' equal to zero and attempt to solve:

Simplifying
8 + 5n = 0

Solving
8 + 5n = 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 + 5n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5n = 0 + -8
5n = 0 + -8

Combine like terms: 0 + -8 = -8
5n = -8

Divide each side by '5'.
n = -1.6

Simplifying
n = -1.6
Solution
n = {-8, -1.6}

See similar equations:

| lnx=-2.30 | | 2.6+18=2.4n+22 | | 10x/-5=-16 | | 13y+11=-5y+35 | | P(p)-10p+25=0 | | 8-4(x+7)=5(x-6) | | -178+(-345)= | | 2/9x-1/3 | | 9a-3(2a-4)=5 | | (40x)+(15x)=553.90 | | 2cos^2x-5cosx=3 | | 0=-16t^2+36t+5 | | 25*23= | | (2q+5r)(2q-5r)= | | 7[x+2(4-x)]=2x+1 | | c-7=24 | | ln(x+5)-ln(x+2)=4 | | x^(2/3)=8x^(1/3) | | (8+2)*x=78+2 | | (7k+4)(k-2)=0 | | -2(3s-6)-12=-2(6s+7)-2 | | x^2/3=8x^1/3 | | 2x+6(x-3)=2(x+6) | | 1x-2=-3x+2 | | y-12=19 | | (3/4)=j-(1/2) | | 1-2x=-1x-3 | | 35=35 | | (1/z^3)^0 | | 1x+3=-x-5 | | (3x+5).4=32 | | 0=2x^2+5x-9 |

Equations solver categories