r^3-2r-8r=0

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Solution for r^3-2r-8r=0 equation: 


Simplifying
r3 + -2r + -8r = 0

Reorder the terms:
-2r + -8r + r3 = 0

Combine like terms: -2r + -8r = -10r
-10r + r3 = 0

Solving
-10r + r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-10 + 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 '(-10 + r2)' equal to zero and attempt to solve:

Simplifying
-10 + r2 = 0

Solving
-10 + r2 = 0

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

Add '10' to each side of the equation.
-10 + 10 + r2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + r2 = 0 + 10
r2 = 0 + 10

Combine like terms: 0 + 10 = 10
r2 = 10

Simplifying
r2 = 10

Take the square root of each side:
r = {-3.16227766, 3.16227766}
Solution
r = {0, -3.16227766, 3.16227766}

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