5log(10x+2)+9=9

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Solution for 5log(10x+2)+9=9 equation:


Simplifying
5log(10x + 2) + 9 = 9

Reorder the terms:
5glo(2 + 10x) + 9 = 9
(2 * 5glo + 10x * 5glo) + 9 = 9
(10glo + 50glox) + 9 = 9

Reorder the terms:
9 + 10glo + 50glox = 9

Add '-9' to each side of the equation.
9 + 10glo + -9 + 50glox = 9 + -9

Reorder the terms:
9 + -9 + 10glo + 50glox = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 10glo + 50glox = 9 + -9
10glo + 50glox = 9 + -9

Combine like terms: 9 + -9 = 0
10glo + 50glox = 0

Solving
10glo + 50glox = 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), '10glo'.
10glo(1 + 5x) = 0

Ignore the factor 10.

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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Add '-5x' to each side of the equation. 5x + -5x = -1 + -5x Combine like terms: 5x + -5x = 0 0 = -1 + -5x Simplifying 0 = -1 + -5x 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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