8r(6s+8r)=

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


Simplifying
8r(6s + 8r) = 0

Reorder the terms:
8r(8r + 6s) = 0
(8r * 8r + 6s * 8r) = 0

Reorder the terms:
(48rs + 64r2) = 0
(48rs + 64r2) = 0

Solving
48rs + 64r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '16r'.
16r(3s + 4r) = 0

Ignore the factor 16.

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 '(3s + 4r)' equal to zero and attempt to solve:

Simplifying
3s + 4r = 0

Reorder the terms:
4r + 3s = 0

Solving
4r + 3s = 0

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

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

Combine like terms: 3s + -3s = 0
4r + 0 = 0 + -3s
4r = 0 + -3s
Remove the zero:
4r = -3s

Divide each side by '4'.
r = -0.75s

Simplifying
r = -0.75s
Solution
r = {0, -0.75s}

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