r^3+r=0

Simple and best practice solution for r^3+r=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 r^3+r=0 equation: 


Simplifying
r3 + r = 0

Reorder the terms:
r + r3 = 0

Solving
r + r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(1 + r2) = 0


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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(1 + r2)' equal to zero and attempt to solve:

Simplifying
1 + r2 = 0

Solving
1 + r2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + r2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + r2 = 0 + -1
r2 = 0 + -1

Combine like terms: 0 + -1 = -1
r2 = -1

Simplifying
r2 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

See similar equations:

| 2x^2-240x+180y=0 | | 3b-5=-71 | | -3.1+(-9.48)= | | (2(73.5-1.5y))+(3y+8)=180 | | x/4=12y | | 7c-6=78 | | 12x+92=192-4x | | 532152100265484230111304521143+3x=2 | | x-126=59 | | -9.6-(-6.8)= | | 2h-8=72 | | 12b+6=138 | | 3.14r^2((12-r)/3) | | r^8+8y^4+16=0 | | 5b+9=-71 | | 77=2n+1 | | Ln(4x)+ln(x)=8 | | 2=4z-2z | | 3.14r^2(12-r/3) | | x+13=x+13 | | 0=7z-5z | | 3x-10=x+4z | | 0=3m-6m | | 15(1/5) | | 26=4w-14 | | 9x+9y=14 | | 2*(5+13)= | | 3w+14=44 | | -2=(4)0+b | | -n+3n=54 | | 2y+6=7y-24 | | x^2-x=2x-2 |

Equations solver categories