3d(nm+7)=

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Solution for 3d(nm+7)= equation: 


Simplifying
3d(nm + 7) = 0

Reorder the terms:
3d(7 + mn) = 0
(7 * 3d + mn * 3d) = 0
(21d + 3dmn) = 0

Solving
21d + 3dmn = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), '3d'.
3d(7 + mn) = 0

Ignore the factor 3.

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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(7 + mn)' equal to zero and attempt to solve:

Simplifying
7 + mn = 0

Solving
7 + mn = 0

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

Add '-7' to each side of the equation.
7 + -7 + mn = 0 + -7

Combine like terms: 7 + -7 = 0
0 + mn = 0 + -7
mn = 0 + -7

Combine like terms: 0 + -7 = -7
mn = -7

Add '-1mn' to each side of the equation.
mn + -1mn = -7 + -1mn

Combine like terms: mn + -1mn = 0
0 = -7 + -1mn

Simplifying
0 = -7 + -1mn

The solution to this equation could not be determined.

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

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