12mx-8m+6rx-4r=0

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Solution for 12mx-8m+6rx-4r=0 equation:


Simplifying
12mx + -8m + 6rx + -4r = 0

Reorder the terms:
-8m + 12mx + -4r + 6rx = 0

Solving
-8m + 12mx + -4r + 6rx = 0

Solving for variable 'm'.

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

Add '4r' to each side of the equation.
-8m + 12mx + -4r + 4r + 6rx = 0 + 4r

Combine like terms: -4r + 4r = 0
-8m + 12mx + 0 + 6rx = 0 + 4r
-8m + 12mx + 6rx = 0 + 4r
Remove the zero:
-8m + 12mx + 6rx = 4r

Add '-6rx' to each side of the equation.
-8m + 12mx + 6rx + -6rx = 4r + -6rx

Combine like terms: 6rx + -6rx = 0
-8m + 12mx + 0 = 4r + -6rx
-8m + 12mx = 4r + -6rx

Reorder the terms:
-8m + 12mx + -4r + 6rx = 4r + -4r + -6rx + 6rx

Combine like terms: 4r + -4r = 0
-8m + 12mx + -4r + 6rx = 0 + -6rx + 6rx
-8m + 12mx + -4r + 6rx = -6rx + 6rx

Combine like terms: -6rx + 6rx = 0
-8m + 12mx + -4r + 6rx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4m + 6mx + -2r + 3rx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4m + 6mx + -2r + 3rx)' equal to zero and attempt to solve: Simplifying -4m + 6mx + -2r + 3rx = 0 Solving -4m + 6mx + -2r + 3rx = 0 Move all terms containing m to the left, all other terms to the right. Add '2r' to each side of the equation. -4m + 6mx + -2r + 2r + 3rx = 0 + 2r Combine like terms: -2r + 2r = 0 -4m + 6mx + 0 + 3rx = 0 + 2r -4m + 6mx + 3rx = 0 + 2r Remove the zero: -4m + 6mx + 3rx = 2r Add '-3rx' to each side of the equation. -4m + 6mx + 3rx + -3rx = 2r + -3rx Combine like terms: 3rx + -3rx = 0 -4m + 6mx + 0 = 2r + -3rx -4m + 6mx = 2r + -3rx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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