2rs+3rst-8r-12rt=0

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Solution for 2rs+3rst-8r-12rt=0 equation: 


Simplifying
2rs + 3rst + -8r + -12rt = 0

Reorder the terms:
-8r + 2rs + 3rst + -12rt = 0

Solving
-8r + 2rs + 3rst + -12rt = 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(-8 + 2s + 3st + -12t) = 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 '(-8 + 2s + 3st + -12t)' equal to zero and attempt to solve:

Simplifying
-8 + 2s + 3st + -12t = 0

Solving
-8 + 2s + 3st + -12t = 0

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

Add '8' to each side of the equation.
-8 + 2s + 3st + 8 + -12t = 0 + 8

Reorder the terms:
-8 + 8 + 2s + 3st + -12t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2s + 3st + -12t = 0 + 8
2s + 3st + -12t = 0 + 8

Combine like terms: 0 + 8 = 8
2s + 3st + -12t = 8

Add '-2s' to each side of the equation.
2s + 3st + -2s + -12t = 8 + -2s

Reorder the terms:
2s + -2s + 3st + -12t = 8 + -2s

Combine like terms: 2s + -2s = 0
0 + 3st + -12t = 8 + -2s
3st + -12t = 8 + -2s

Add '-3st' to each side of the equation.
3st + -3st + -12t = 8 + -2s + -3st

Combine like terms: 3st + -3st = 0
0 + -12t = 8 + -2s + -3st
-12t = 8 + -2s + -3st

Add '12t' to each side of the equation.
-12t + 12t = 8 + -2s + -3st + 12t

Combine like terms: -12t + 12t = 0
0 = 8 + -2s + -3st + 12t

Simplifying
0 = 8 + -2s + -3st + 12t

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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