-7mr(12m-7r+5)=0

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Solution for -7mr(12m-7r+5)=0 equation: 


Simplifying
-7mr(12m + -7r + 5) = 0

Reorder the terms:
-7mr(5 + 12m + -7r) = 0
(5 * -7mr + 12m * -7mr + -7r * -7mr) = 0

Reorder the terms:
(-35mr + 49mr2 + -84m2r) = 0
(-35mr + 49mr2 + -84m2r) = 0

Solving
-35mr + 49mr2 + -84m2r = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7mr'.
7mr(-5 + 7r + -12m) = 0

Ignore the factor 7.

Subproblem 1
Set the factor 'mr' equal to zero and attempt to solve:

Simplifying
mr = 0

Solving
mr = 0

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

Simplifying
mr = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-5 + 7r + -12m)' equal to zero and attempt to solve:

Simplifying
-5 + 7r + -12m = 0

Reorder the terms:
-5 + -12m + 7r = 0

Solving
-5 + -12m + 7r = 0

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

Add '5' to each side of the equation.
-5 + -12m + 5 + 7r = 0 + 5

Reorder the terms:
-5 + 5 + -12m + 7r = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -12m + 7r = 0 + 5
-12m + 7r = 0 + 5

Combine like terms: 0 + 5 = 5
-12m + 7r = 5

Add '-7r' to each side of the equation.
-12m + 7r + -7r = 5 + -7r

Combine like terms: 7r + -7r = 0
-12m + 0 = 5 + -7r
-12m = 5 + -7r

Divide each side by '-12'.
m = -0.4166666667 + 0.5833333333r

Simplifying
m = -0.4166666667 + 0.5833333333r
Solution
m = {-0.4166666667 + 0.5833333333r}

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