lg(3x+10)=2lgx

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Solution for lg(3x+10)=2lgx equation: 


Simplifying
lg(3x + 10) = 2lgx

Reorder the terms:
gl(10 + 3x) = 2lgx
(10 * gl + 3x * gl) = 2lgx
(10gl + 3glx) = 2lgx

Solving
10gl + 3glx = 2glx

Solving for variable 'g'.

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

Add '-2glx' to each side of the equation.
10gl + 3glx + -2glx = 2glx + -2glx

Combine like terms: 3glx + -2glx = 1glx
10gl + 1glx = 2glx + -2glx

Combine like terms: 2glx + -2glx = 0
10gl + 1glx = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(10 + x) = 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Add '-1x' to each side of the equation.
x + -1x = -10 + -1x

Combine like terms: x + -1x = 0
0 = -10 + -1x

Simplifying
0 = -10 + -1x

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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