ldgaf(12idgaf+7)=12idgaf

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Solution for ldgaf(12idgaf+7)=12idgaf equation: 


Simplifying
ldgaf(12idgaf + 7) = 12idgaf

Reorder the terms:
adfgl(7 + 12adfgi) = 12idgaf
(7 * adfgl + 12adfgi * adfgl) = 12idgaf
(7adfgl + 12a2d2f2g2il) = 12idgaf

Solving
7adfgl + 12a2d2f2g2il = 12adfgi

Solving for variable 'a'.

Reorder the terms:
-12adfgi + 7adfgl + 12a2d2f2g2il = 12adfgi + -12adfgi

Combine like terms: 12adfgi + -12adfgi = 0
-12adfgi + 7adfgl + 12a2d2f2g2il = 0

Factor out the Greatest Common Factor (GCF), 'adfg'.
adfg(-12i + 7l + 12adfgil) = 0


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

Simplifying
adfg = 0

Solving
adfg = 0

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

Simplifying
adfg = 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 '(-12i + 7l + 12adfgil)' equal to zero and attempt to solve:

Simplifying
-12i + 7l + 12adfgil = 0

Reorder the terms:
12adfgil + -12i + 7l = 0

Solving
12adfgil + -12i + 7l = 0

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

Add '12i' to each side of the equation.
12adfgil + -12i + 12i + 7l = 0 + 12i

Combine like terms: -12i + 12i = 0
12adfgil + 0 + 7l = 0 + 12i
12adfgil + 7l = 0 + 12i
Remove the zero:
12adfgil + 7l = 12i

Add '-7l' to each side of the equation.
12adfgil + 7l + -7l = 12i + -7l

Combine like terms: 7l + -7l = 0
12adfgil + 0 = 12i + -7l
12adfgil = 12i + -7l

Divide each side by '12dfgil'.
a = d-1f-1g-1l-1 + -0.5833333333d-1f-1g-1i-1

Simplifying
a = d-1f-1g-1l-1 + -0.5833333333d-1f-1g-1i-1

Reorder the terms:
a = -0.5833333333d-1f-1g-1i-1 + d-1f-1g-1l-1
Solution
a = {-0.5833333333d-1f-1g-1i-1 + d-1f-1g-1l-1}

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