3log(8)(2x+7)+8=10

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Solution for 3log(8)(2x+7)+8=10 equation: 


Simplifying
3log(8)(2x + 7) + 8 = 10

Reorder the terms:
3glo * 8(7 + 2x) + 8 = 10

Reorder the terms for easier multiplication:
3 * 8glo(7 + 2x) + 8 = 10

Multiply 3 * 8
24glo(7 + 2x) + 8 = 10
(7 * 24glo + 2x * 24glo) + 8 = 10
(168glo + 48glox) + 8 = 10

Reorder the terms:
8 + 168glo + 48glox = 10

Solving
8 + 168glo + 48glox = 10

Solving for variable 'g'.

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

Add '-8' to each side of the equation.
8 + 168glo + -8 + 48glox = 10 + -8

Reorder the terms:
8 + -8 + 168glo + 48glox = 10 + -8

Combine like terms: 8 + -8 = 0
0 + 168glo + 48glox = 10 + -8
168glo + 48glox = 10 + -8

Combine like terms: 10 + -8 = 2
168glo + 48glox = 2

Reorder the terms:
-2 + 168glo + 48glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 168glo + 48glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 84glo + 24glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 84glo + 24glox)' equal to zero and attempt to solve:

Simplifying
-1 + 84glo + 24glox = 0

Solving
-1 + 84glo + 24glox = 0

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

Add '1' to each side of the equation.
-1 + 84glo + 1 + 24glox = 0 + 1

Reorder the terms:
-1 + 1 + 84glo + 24glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 84glo + 24glox = 0 + 1
84glo + 24glox = 0 + 1

Combine like terms: 0 + 1 = 1
84glo + 24glox = 1

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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