2lg(3x+10)=4

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Solution for 2lg(3x+10)=4 equation:


Simplifying
2lg(3x + 10) = 4

Reorder the terms:
2gl(10 + 3x) = 4
(10 * 2gl + 3x * 2gl) = 4
(20gl + 6glx) = 4

Solving
20gl + 6glx = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 20gl + 6glx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 20gl + 6glx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 10gl + 3glx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 10gl + 3glx)' equal to zero and attempt to solve: Simplifying -2 + 10gl + 3glx = 0 Solving -2 + 10gl + 3glx = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10gl + 2 + 3glx = 0 + 2 Reorder the terms: -2 + 2 + 10gl + 3glx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10gl + 3glx = 0 + 2 10gl + 3glx = 0 + 2 Combine like terms: 0 + 2 = 2 10gl + 3glx = 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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