log(2)(6x+5)+log(2)(x)=0

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Solution for log(2)(6x+5)+log(2)(x)=0 equation:


Simplifying
log(2)(6x + 5) + log(2)(x) = 0

Reorder the terms:
glo * 2(5 + 6x) + log(2)(x) = 0

Reorder the terms for easier multiplication:
2glo(5 + 6x) + log(2)(x) = 0
(5 * 2glo + 6x * 2glo) + log(2)(x) = 0
(10glo + 12glox) + log(2)(x) = 0

Reorder the terms for easier multiplication:
10glo + 12glox + 2glo * x = 0

Multiply glo * x
10glo + 12glox + 2glox = 0

Combine like terms: 12glox + 2glox = 14glox
10glo + 14glox = 0

Solving
10glo + 14glox = 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), '2glo'.
2glo(5 + 7x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Add '-7x' to each side of the equation. 7x + -7x = -5 + -7x Combine like terms: 7x + -7x = 0 0 = -5 + -7x Simplifying 0 = -5 + -7x 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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