r^2=sqrt(8r)

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Solution for r^2=sqrt(8r) equation: 


Simplifying
r2 = sqrt(8r)

Remove parenthesis around (8r)
r2 = qrst * 8r

Reorder the terms for easier multiplication:
r2 = 8qrst * r

Multiply qrst * r
r2 = 8qr2st

Solving
r2 = 8qr2st

Solving for variable 'r'.

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

Add '-8qr2st' to each side of the equation.
-8qr2st + r2 = 8qr2st + -8qr2st

Combine like terms: 8qr2st + -8qr2st = 0
-8qr2st + r2 = 0

Factor out the Greatest Common Factor (GCF), 'r2'.
r2(-8qst + 1) = 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 '(-8qst + 1)' equal to zero and attempt to solve:

Simplifying
-8qst + 1 = 0

Reorder the terms:
1 + -8qst = 0

Solving
1 + -8qst = 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 + -8qst = 0 + -1

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

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

Add '8qst' to each side of the equation.
-8qst + 8qst = -1 + 8qst

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

Simplifying
0 = -1 + 8qst

The solution to this equation could not be determined.

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

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