r^3-8r^2+16r^2=0

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Solution for r^3-8r^2+16r^2=0 equation: 


Simplifying
r3 + -8r2 + 16r2 = 0

Reorder the terms:
-8r2 + 16r2 + r3 = 0

Combine like terms: -8r2 + 16r2 = 8r2
8r2 + r3 = 0

Solving
8r2 + r3 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(8 + r) = 0


Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve:

Simplifying
r2 = 0

Solving
r2 = 0

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

Simplifying
r2 = 0

Take the square root of each side:
r = {0}

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

Simplifying
8 + r = 0

Solving
8 + r = 0

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

Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8

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

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

Simplifying
r = -8
Solution
r = {0, -8}

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