n(n^2-1)+n(n-1)=0

Simple and best practice solution for n(n^2-1)+n(n-1)=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(n^2-1)+n(n-1)=0 equation:


Simplifying
n(n2 + -1) + n(n + -1) = 0

Reorder the terms:
n(-1 + n2) + n(n + -1) = 0
(-1 * n + n2 * n) + n(n + -1) = 0
(-1n + n3) + n(n + -1) = 0

Reorder the terms:
-1n + n3 + n(-1 + n) = 0
-1n + n3 + (-1 * n + n * n) = 0
-1n + n3 + (-1n + n2) = 0

Reorder the terms:
-1n + -1n + n2 + n3 = 0

Combine like terms: -1n + -1n = -2n
-2n + n2 + n3 = 0

Solving
-2n + n2 + n3 = 0

Solving for variable 'n'.

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

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

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 '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2

Subproblem 3

Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1

Solution

n = {0, -2, 1}

See similar equations:

| a(7*7)5=21 | | 7x^3+12x^2+11x+2=0 | | 20-(2x+5)=3x | | c=12*13 | | -5=0.5y | | a=3.14*6*6 | | -5b+4=-29 | | graphy=5-x | | 7.24=2*3.14*r | | 4.25y=-0.85 | | 26=14-m/2 | | 3(4+2x)-6x=12 | | 7.47=2*3.17*r | | 0=2x^2+12x-144 | | x+0.1(-x+60)=12 | | 2m*r=7.47 | | x=ln(5x^3)+ln(x) | | 0.3x=0.3 | | 7.47=2cr | | -24=-6a | | -6y+4+11y=16 | | (7xy)27=93 | | 2800=s*.05+1000 | | -y+2=1 | | c=2*3.1r | | -5.2+n=10.6 | | 15=5+p/3 | | -13-6a=a+6a | | 2x^6-28x^4+98x^2=0 | | 1.8=5.76 | | 2y-8=4x | | -6x+6(-5x-13)=138 |

Equations solver categories