2n(n-8)(n+5)=0

Simple and best practice solution for 2n(n-8)(n+5)=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 2n(n-8)(n+5)=0 equation: 


Simplifying
2n(n + -8)(n + 5) = 0

Reorder the terms:
2n(-8 + n)(n + 5) = 0

Reorder the terms:
2n(-8 + n)(5 + n) = 0

Multiply (-8 + n) * (5 + n)
2n(-8(5 + n) + n(5 + n)) = 0
2n((5 * -8 + n * -8) + n(5 + n)) = 0
2n((-40 + -8n) + n(5 + n)) = 0
2n(-40 + -8n + (5 * n + n * n)) = 0
2n(-40 + -8n + (5n + n2)) = 0

Combine like terms: -8n + 5n = -3n
2n(-40 + -3n + n2) = 0
(-40 * 2n + -3n * 2n + n2 * 2n) = 0
(-80n + -6n2 + 2n3) = 0

Solving
-80n + -6n2 + 2n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-40 + -3n + n2) = 0

Factor a trinomial.
2n((-5 + -1n)(8 + -1n)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-5 + -1n)' equal to zero and attempt to solve:

Simplifying
-5 + -1n = 0

Solving
-5 + -1n = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1n = 0 + 5
-1n = 0 + 5

Combine like terms: 0 + 5 = 5
-1n = 5

Divide each side by '-1'.
n = -5

Simplifying
n = -5

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

Simplifying
8 + -1n = 0

Solving
8 + -1n = 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 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {0, -5, 8}

See similar equations:

| -x=-5 | | x^2-x-30=0 | | -6=21-n | | -7z=49 | | -z=49 | | -7=3(4x)+4x | | -27+z=47 | | 9x+13y=-20 | | x(x+1)(x-1)=0 | | 11x-7x=8 | | 5p-3(p-2)=-16 | | 4x+7x=5x+28 | | 2n^2-10n-17=0 | | 22=-2(y-3)+4y | | 7k-8k=1 | | 3+8(t-9)=6(t+2)+1 | | 4=5x | | -x^2+5x-4=0 | | 0=8n+1 | | 6(-3x)-4x=-88 | | 2f-9=14f+1 | | x=15-31 | | -2n+3.75=3.50 | | 9+8(t-7)=6(t+6)+4 | | (2m-7n)+(m+2n)= | | 21+6y=8y-7 | | 5-4h=65 | | 4+7x=5x+28 | | -16=2+x | | 5x-7=42 | | 2t=-4t+5 | | (3m)(-5n)= |

Equations solver categories