Log[9](x)+log[9](x+4)x=0

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Solution for Log[9](x)+log[9](x+4)x=0 equation:


Simplifying
Log[9](x) + log[9](x + 4) * x = 0

Reorder the terms for easier multiplication:
9goL * x + log[9](x + 4) * x = 0

Multiply goL * x
9goxL + log[9](x + 4) * x = 0

Reorder the terms:
9goxL + glo * 9(4 + x) * x = 0

Reorder the terms for easier multiplication:
9goxL + 9glo * x(4 + x) = 0

Multiply glo * x
9goxL + 9glox(4 + x) = 0
9goxL + (4 * 9glox + x * 9glox) = 0
9goxL + (36glox + 9glox2) = 0

Reorder the terms:
36glox + 9glox2 + 9goxL = 0

Solving
36glox + 9glox2 + 9goxL = 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), '9gox'.
9gox(4l + lx + L) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(4l + lx + L)' equal to zero and attempt to solve: Simplifying 4l + lx + L = 0 Reorder the terms: L + 4l + lx = 0 Solving L + 4l + lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + 4l + -1L + lx = 0 + -1L Reorder the terms: L + -1L + 4l + lx = 0 + -1L Combine like terms: L + -1L = 0 0 + 4l + lx = 0 + -1L 4l + lx = 0 + -1L Remove the zero: 4l + lx = -1L Add '-4l' to each side of the equation. 4l + -4l + lx = -1L + -4l Combine like terms: 4l + -4l = 0 0 + lx = -1L + -4l lx = -1L + -4l Add '-1lx' to each side of the equation. lx + -1lx = -1L + -4l + -1lx Combine like terms: lx + -1lx = 0 0 = -1L + -4l + -1lx Simplifying 0 = -1L + -4l + -1lx 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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