lg(x+4x+4)=lgx^4

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Solution for lg(x+4x+4)=lgx^4 equation: 


Simplifying
lg(x + 4x + 4) = lgx4

Reorder the terms:
gl(4 + x + 4x) = lgx4

Combine like terms: x + 4x = 5x
gl(4 + 5x) = lgx4
(4 * gl + 5x * gl) = lgx4
(4gl + 5glx) = lgx4

Solving
4gl + 5glx = glx4

Solving for variable 'g'.

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

Add '-1glx4' to each side of the equation.
4gl + 5glx + -1glx4 = glx4 + -1glx4

Combine like terms: glx4 + -1glx4 = 0
4gl + 5glx + -1glx4 = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(4 + 5x + -1x4) = 0


Subproblem 1
Set the factor 'gl' equal to zero and attempt to solve:

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 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 '(4 + 5x + -1x4)' equal to zero and attempt to solve:

Simplifying
4 + 5x + -1x4 = 0

Solving
4 + 5x + -1x4 = 0

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

Add '-4' to each side of the equation.
4 + 5x + -4 + -1x4 = 0 + -4

Reorder the terms:
4 + -4 + 5x + -1x4 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x + -1x4 = 0 + -4
5x + -1x4 = 0 + -4

Combine like terms: 0 + -4 = -4
5x + -1x4 = -4

Add '-5x' to each side of the equation.
5x + -5x + -1x4 = -4 + -5x

Combine like terms: 5x + -5x = 0
0 + -1x4 = -4 + -5x
-1x4 = -4 + -5x

Add 'x4' to each side of the equation.
-1x4 + x4 = -4 + -5x + x4

Combine like terms: -1x4 + x4 = 0
0 = -4 + -5x + x4

Simplifying
0 = -4 + -5x + x4

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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