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

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


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

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

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

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

Reorder the terms:
8 + 9glox = x2 + x

Reorder the terms:
8 + 9glox = x + x2

Solving
8 + 9glox = x + x2

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 + -8 + 9glox = x + -8 + x2

Combine like terms: 8 + -8 = 0
0 + 9glox = x + -8 + x2
9glox = x + -8 + x2

Reorder the terms:
9glox = -8 + x + x2

Divide each side by '9lox'.
g = -0.8888888889l-1o-1x-1 + 0.1111111111l-1o-1 + 0.1111111111l-1o-1x

Simplifying
g = -0.8888888889l-1o-1x-1 + 0.1111111111l-1o-1 + 0.1111111111l-1o-1x

Reorder the terms:
g = 0.1111111111l-1o-1 + -0.8888888889l-1o-1x-1 + 0.1111111111l-1o-1x

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