-10+log[3](x+3)=-10

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Solution for -10+log[3](x+3)=-10 equation: 


Simplifying
-10 + log[3](x + 3) = -10

Reorder the terms:
-10 + glo * 3(3 + x) = -10

Reorder the terms for easier multiplication:
-10 + 3glo(3 + x) = -10
-10 + (3 * 3glo + x * 3glo) = -10
-10 + (9glo + 3glox) = -10

Add '10' to each side of the equation.
-10 + 9glo + 10 + 3glox = -10 + 10

Reorder the terms:
-10 + 10 + 9glo + 3glox = -10 + 10

Combine like terms: -10 + 10 = 0
0 + 9glo + 3glox = -10 + 10
9glo + 3glox = -10 + 10

Combine like terms: -10 + 10 = 0
9glo + 3glox = 0

Solving
9glo + 3glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(3 + x) = 0

Ignore the factor 3.

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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

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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