3rs-13r+4s-7rs+14r-4s=

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Solution for 3rs-13r+4s-7rs+14r-4s= equation: 


Simplifying
3rs + -13r + 4s + -7rs + 14r + -4s = 0

Reorder the terms:
-13r + 14r + 3rs + -7rs + 4s + -4s = 0

Combine like terms: -13r + 14r = 1r
1r + 3rs + -7rs + 4s + -4s = 0

Combine like terms: 3rs + -7rs = -4rs
1r + -4rs + 4s + -4s = 0

Combine like terms: 4s + -4s = 0
1r + -4rs + 0 = 0
1r + -4rs = 0

Solving
1r + -4rs = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), 'r'.
r(1 + -4s) = 0


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 '(1 + -4s)' equal to zero and attempt to solve:

Simplifying
1 + -4s = 0

Solving
1 + -4s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4s = 0 + -1
-4s = 0 + -1

Combine like terms: 0 + -1 = -1
-4s = -1

Add '4s' to each side of the equation.
-4s + 4s = -1 + 4s

Combine like terms: -4s + 4s = 0
0 = -1 + 4s

Simplifying
0 = -1 + 4s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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