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

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