3r(8r+5)=0

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Solution for 3r(8r+5)=0 equation: 


Simplifying
3r(8r + 5) = 0

Reorder the terms:
3r(5 + 8r) = 0
(5 * 3r + 8r * 3r) = 0
(15r + 24r2) = 0

Solving
15r + 24r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '3r'.
3r(5 + 8r) = 0

Ignore the factor 3.

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 '(5 + 8r)' equal to zero and attempt to solve:

Simplifying
5 + 8r = 0

Solving
5 + 8r = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8r = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8r = 0 + -5
8r = 0 + -5

Combine like terms: 0 + -5 = -5
8r = -5

Divide each side by '8'.
r = -0.625

Simplifying
r = -0.625
Solution
r = {0, -0.625}

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