6rs(2r^2+3rs)=

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Solution for 6rs(2r^2+3rs)= equation: 


Simplifying
6rs(2r2 + 3rs) = 0

Reorder the terms:
6rs(3rs + 2r2) = 0
(3rs * 6rs + 2r2 * 6rs) = 0
(18r2s2 + 12r3s) = 0

Solving
18r2s2 + 12r3s = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '6r2s'.
6r2s(3s + 2r) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'r2s' equal to zero and attempt to solve:

Simplifying
r2s = 0

Solving
r2s = 0

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

Simplifying
r2s = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3s + 2r)' equal to zero and attempt to solve:

Simplifying
3s + 2r = 0

Reorder the terms:
2r + 3s = 0

Solving
2r + 3s = 0

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

Add '-3s' to each side of the equation.
2r + 3s + -3s = 0 + -3s

Combine like terms: 3s + -3s = 0
2r + 0 = 0 + -3s
2r = 0 + -3s
Remove the zero:
2r = -3s

Divide each side by '2'.
r = -1.5s

Simplifying
r = -1.5s
Solution
r = {-1.5s}

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