5r(6r+8)=

Solution for 5r(6r+8)= equation:

Simplifying
5r(6r + 8) = 0

Reorder the terms:
5r(8 + 6r) = 0
(8 * 5r + 6r * 5r) = 0
(40r + 30r2) = 0

Solving
40r + 30r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '10r'.
10r(4 + 3r) = 0

Ignore the factor 10.
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 '(4 + 3r)' equal to zero and attempt to solve:

Simplifying
4 + 3r = 0

Solving
4 + 3r = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3r = 0 + -4
3r = 0 + -4

Combine like terms: 0 + -4 = -4
3r = -4

Divide each side by '3'.
r = -1.333333333

Simplifying
r = -1.333333333
Solution
r = {0, -1.333333333}