15log(6+8x)-18=42

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Solution for 15log(6+8x)-18=42 equation: 


Simplifying
15log(6 + 8x) + -18 = 42
(6 * 15glo + 8x * 15glo) + -18 = 42
(90glo + 120glox) + -18 = 42

Reorder the terms:
-18 + 90glo + 120glox = 42

Solving
-18 + 90glo + 120glox = 42

Solving for variable 'g'.

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

Add '18' to each side of the equation.
-18 + 90glo + 18 + 120glox = 42 + 18

Reorder the terms:
-18 + 18 + 90glo + 120glox = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 90glo + 120glox = 42 + 18
90glo + 120glox = 42 + 18

Combine like terms: 42 + 18 = 60
90glo + 120glox = 60

Reorder the terms:
-60 + 90glo + 120glox = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 90glo + 120glox = 0

Factor out the Greatest Common Factor (GCF), '30'.
30(-2 + 3glo + 4glox) = 0

Ignore the factor 30.

Subproblem 1
Set the factor '(-2 + 3glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-2 + 3glo + 4glox = 0

Solving
-2 + 3glo + 4glox = 0

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

Add '2' to each side of the equation.
-2 + 3glo + 2 + 4glox = 0 + 2

Reorder the terms:
-2 + 2 + 3glo + 4glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3glo + 4glox = 0 + 2
3glo + 4glox = 0 + 2

Combine like terms: 0 + 2 = 2
3glo + 4glox = 2

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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