log(3)3x+8=log(3)x^2+x

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


Simplifying
log(3) * 3x + 8 = log(3) * x2 + x

Reorder the terms for easier multiplication:
3 * 3glo * x + 8 = log(3) * x2 + x

Multiply 3 * 3
9glo * x + 8 = log(3) * x2 + x

Multiply glo * x
9glox + 8 = log(3) * x2 + x

Reorder the terms:
8 + 9glox = log(3) * x2 + x

Reorder the terms for easier multiplication:
8 + 9glox = 3glo * x2 + x

Multiply glo * x2
8 + 9glox = 3glox2 + x

Solving
8 + 9glox = 3glox2 + x

Solving for variable 'g'.

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

Add '-3glox2' to each side of the equation.
8 + 9glox + -3glox2 = 3glox2 + -3glox2 + x

Combine like terms: 3glox2 + -3glox2 = 0
8 + 9glox + -3glox2 = 0 + x
8 + 9glox + -3glox2 = x

Add '-8' to each side of the equation.
8 + 9glox + -8 + -3glox2 = -8 + x

Reorder the terms:
8 + -8 + 9glox + -3glox2 = -8 + x

Combine like terms: 8 + -8 = 0
0 + 9glox + -3glox2 = -8 + x
9glox + -3glox2 = -8 + x

Reorder the terms:
8 + 9glox + -3glox2 + -1x = -8 + x + 8 + -1x

Reorder the terms:
8 + 9glox + -3glox2 + -1x = -8 + 8 + x + -1x

Combine like terms: -8 + 8 = 0
8 + 9glox + -3glox2 + -1x = 0 + x + -1x
8 + 9glox + -3glox2 + -1x = x + -1x

Combine like terms: x + -1x = 0
8 + 9glox + -3glox2 + -1x = 0

The solution to this equation could not be determined.

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