log(x+3)(2x+3)+log(x+3)(x+5)=2

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Solution for log(x+3)(2x+3)+log(x+3)(x+5)=2 equation: 


Simplifying
log(x + 3)(2x + 3) + log(x + 3)(x + 5) = 2

Reorder the terms:
glo(3 + x)(2x + 3) + log(x + 3)(x + 5) = 2

Reorder the terms:
glo(3 + x)(3 + 2x) + log(x + 3)(x + 5) = 2

Multiply (3 + x) * (3 + 2x)
glo(3(3 + 2x) + x(3 + 2x)) + log(x + 3)(x + 5) = 2
glo((3 * 3 + 2x * 3) + x(3 + 2x)) + log(x + 3)(x + 5) = 2
glo((9 + 6x) + x(3 + 2x)) + log(x + 3)(x + 5) = 2
glo(9 + 6x + (3 * x + 2x * x)) + log(x + 3)(x + 5) = 2
glo(9 + 6x + (3x + 2x2)) + log(x + 3)(x + 5) = 2

Combine like terms: 6x + 3x = 9x
glo(9 + 9x + 2x2) + log(x + 3)(x + 5) = 2
(9 * glo + 9x * glo + 2x2 * glo) + log(x + 3)(x + 5) = 2
(9glo + 9glox + 2glox2) + log(x + 3)(x + 5) = 2

Reorder the terms:
9glo + 9glox + 2glox2 + glo(3 + x)(x + 5) = 2

Reorder the terms:
9glo + 9glox + 2glox2 + glo(3 + x)(5 + x) = 2

Multiply (3 + x) * (5 + x)
9glo + 9glox + 2glox2 + glo(3(5 + x) + x(5 + x)) = 2
9glo + 9glox + 2glox2 + glo((5 * 3 + x * 3) + x(5 + x)) = 2
9glo + 9glox + 2glox2 + glo((15 + 3x) + x(5 + x)) = 2
9glo + 9glox + 2glox2 + glo(15 + 3x + (5 * x + x * x)) = 2
9glo + 9glox + 2glox2 + glo(15 + 3x + (5x + x2)) = 2

Combine like terms: 3x + 5x = 8x
9glo + 9glox + 2glox2 + glo(15 + 8x + x2) = 2
9glo + 9glox + 2glox2 + (15 * glo + 8x * glo + x2 * glo) = 2
9glo + 9glox + 2glox2 + (15glo + 8glox + glox2) = 2

Reorder the terms:
9glo + 15glo + 9glox + 8glox + 2glox2 + glox2 = 2

Combine like terms: 9glo + 15glo = 24glo
24glo + 9glox + 8glox + 2glox2 + glox2 = 2

Combine like terms: 9glox + 8glox = 17glox
24glo + 17glox + 2glox2 + glox2 = 2

Combine like terms: 2glox2 + glox2 = 3glox2
24glo + 17glox + 3glox2 = 2

Solving
24glo + 17glox + 3glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 24glo + 17glox + 3glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 24glo + 17glox + 3glox2 = 0

The solution to this equation could not be determined.

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