(2r+s)14r=

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Solution for (2r+s)14r= equation: 


Simplifying
(2r + s) * 14r = 0

Reorder the terms for easier multiplication:
14r(2r + s) = 0
(2r * 14r + s * 14r) = 0

Reorder the terms:
(14rs + 28r2) = 0
(14rs + 28r2) = 0

Solving
14rs + 28r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '14r'.
14r(s + 2r) = 0

Ignore the factor 14.

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 '(s + 2r)' equal to zero and attempt to solve:

Simplifying
s + 2r = 0

Reorder the terms:
2r + s = 0

Solving
2r + s = 0

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

Add '-1s' to each side of the equation.
2r + s + -1s = 0 + -1s

Combine like terms: s + -1s = 0
2r + 0 = 0 + -1s
2r = 0 + -1s
Remove the zero:
2r = -1s

Divide each side by '2'.
r = -0.5s

Simplifying
r = -0.5s
Solution
r = {0, -0.5s}

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