9log^3(6-2x)+21=35

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Solution for 9log^3(6-2x)+21=35 equation: 


Simplifying
9log3(6 + -2x) + 21 = 35
(6 * 9g3lo + -2x * 9g3lo) + 21 = 35
(54g3lo + -18g3lox) + 21 = 35

Reorder the terms:
21 + 54g3lo + -18g3lox = 35

Solving
21 + 54g3lo + -18g3lox = 35

Solving for variable 'g'.

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

Add '-21' to each side of the equation.
21 + 54g3lo + -21 + -18g3lox = 35 + -21

Reorder the terms:
21 + -21 + 54g3lo + -18g3lox = 35 + -21

Combine like terms: 21 + -21 = 0
0 + 54g3lo + -18g3lox = 35 + -21
54g3lo + -18g3lox = 35 + -21

Combine like terms: 35 + -21 = 14
54g3lo + -18g3lox = 14

Reorder the terms:
-14 + 54g3lo + -18g3lox = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 54g3lo + -18g3lox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 27g3lo + -9g3lox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 27g3lo + -9g3lox)' equal to zero and attempt to solve:

Simplifying
-7 + 27g3lo + -9g3lox = 0

Solving
-7 + 27g3lo + -9g3lox = 0

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

Add '7' to each side of the equation.
-7 + 27g3lo + 7 + -9g3lox = 0 + 7

Reorder the terms:
-7 + 7 + 27g3lo + -9g3lox = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 27g3lo + -9g3lox = 0 + 7
27g3lo + -9g3lox = 0 + 7

Combine like terms: 0 + 7 = 7
27g3lo + -9g3lox = 7

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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