8r(3r+8)=0

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Solution for 8r(3r+8)=0 equation: 


Simplifying
8r(3r + 8) = 0

Reorder the terms:
8r(8 + 3r) = 0
(8 * 8r + 3r * 8r) = 0
(64r + 24r2) = 0

Solving
64r + 24r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '8r'.
8r(8 + 3r) = 0

Ignore the factor 8.

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 '(8 + 3r)' equal to zero and attempt to solve:

Simplifying
8 + 3r = 0

Solving
8 + 3r = 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 + 3r = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3r = 0 + -8
3r = 0 + -8

Combine like terms: 0 + -8 = -8
3r = -8

Divide each side by '3'.
r = -2.666666667

Simplifying
r = -2.666666667
Solution
r = {0, -2.666666667}

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