(log[3](x+15))(log[3](x+15))+(x-12)log[3](x)+11-x=0

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Solution for (log[3](x+15))(log[3](x+15))+(x-12)log[3](x)+11-x=0 equation: 


Simplifying
(log[3](x + 15))(log[3](x + 15)) + (x + -12) * log[3](x) + 11 + -1x = 0

Reorder the terms:
(glo * 3(15 + x))(log[3](x + 15)) + (x + -12) * log[3](x) + 11 + -1x = 0

Reorder the terms for easier multiplication:
(3glo(15 + x))(log[3](x + 15)) + (x + -12) * log[3](x) + 11 + -1x = 0
((15 * 3glo + x * 3glo))(log[3](x + 15)) + (x + -12) * log[3](x) + 11 + -1x = 0
((45glo + 3glox))(log[3](x + 15)) + (x + -12) * log[3](x) + 11 + -1x = 0

Reorder the terms:
(45glo + 3glox)(glo * 3(15 + x)) + (x + -12) * log[3](x) + 11 + -1x = 0

Reorder the terms for easier multiplication:
(45glo + 3glox)(3glo(15 + x)) + (x + -12) * log[3](x) + 11 + -1x = 0
(45glo + 3glox)((15 * 3glo + x * 3glo)) + (x + -12) * log[3](x) + 11 + -1x = 0
(45glo + 3glox)((45glo + 3glox)) + (x + -12) * log[3](x) + 11 + -1x = 0

Multiply (45glo + 3glox) * (45glo + 3glox)
(45glo * (45glo + 3glox) + 3glox * (45glo + 3glox)) + (x + -12) * log[3](x) + 11 + -1x = 0
((45glo * 45glo + 3glox * 45glo) + 3glox * (45glo + 3glox)) + (x + -12) * log[3](x) + 11 + -1x = 0
((2025g2l2o2 + 135g2l2o2x) + 3glox * (45glo + 3glox)) + (x + -12) * log[3](x) + 11 + -1x = 0
(2025g2l2o2 + 135g2l2o2x + (45glo * 3glox + 3glox * 3glox)) + (x + -12) * log[3](x) + 11 + -1x = 0
(2025g2l2o2 + 135g2l2o2x + (135g2l2o2x + 9g2l2o2x2)) + (x + -12) * log[3](x) + 11 + -1x = 0

Combine like terms: 135g2l2o2x + 135g2l2o2x = 270g2l2o2x
(2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2) + (x + -12) * log[3](x) + 11 + -1x = 0

Reorder the terms:
2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + (-12 + x) * log[3](x) + 11 + -1x = 0

Reorder the terms for easier multiplication:
2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + 3glo * x(-12 + x) + 11 + -1x = 0

Multiply glo * x
2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + 3glox(-12 + x) + 11 + -1x = 0
2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + (-12 * 3glox + x * 3glox) + 11 + -1x = 0
2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + (-36glox + 3glox2) + 11 + -1x = 0

Reorder the terms:
11 + -36glox + 3glox2 + 2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + -1x = 0

Solving
11 + -36glox + 3glox2 + 2025g2l2o2 + 270g2l2o2x + 9g2l2o2x2 + -1x = 0

Solving for variable 'g'.

The solution to this equation could not be determined.

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