lg(7x+51)+lg(15x-5)=4

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Solution for lg(7x+51)+lg(15x-5)=4 equation:


Simplifying
lg(7x + 51) + lg(15x + -5) = 4

Reorder the terms:
gl(51 + 7x) + lg(15x + -5) = 4
(51 * gl + 7x * gl) + lg(15x + -5) = 4
(51gl + 7glx) + lg(15x + -5) = 4

Reorder the terms:
51gl + 7glx + gl(-5 + 15x) = 4
51gl + 7glx + (-5 * gl + 15x * gl) = 4
51gl + 7glx + (-5gl + 15glx) = 4

Reorder the terms:
51gl + -5gl + 7glx + 15glx = 4

Combine like terms: 51gl + -5gl = 46gl
46gl + 7glx + 15glx = 4

Combine like terms: 7glx + 15glx = 22glx
46gl + 22glx = 4

Solving
46gl + 22glx = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 46gl + 22glx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 46gl + 22glx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 23gl + 11glx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 23gl + 11glx)' equal to zero and attempt to solve: Simplifying -2 + 23gl + 11glx = 0 Solving -2 + 23gl + 11glx = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 23gl + 2 + 11glx = 0 + 2 Reorder the terms: -2 + 2 + 23gl + 11glx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 23gl + 11glx = 0 + 2 23gl + 11glx = 0 + 2 Combine like terms: 0 + 2 = 2 23gl + 11glx = 2 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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