log(3x+13)*log(25x^2)=0

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Solution for log(3x+13)*log(25x^2)=0 equation: 


Simplifying
log(3x + 13) * log(25x2) = 0

Reorder the terms:
glo(13 + 3x) * log(25x2) = 0

Remove parenthesis around (25x2)
glo(13 + 3x) * glo * 25x2 = 0

Reorder the terms for easier multiplication:
25glo * glo * x2(13 + 3x) = 0

Multiply glo * glo
25g2l2o2 * x2(13 + 3x) = 0

Multiply g2l2o2 * x2
25g2l2o2x2(13 + 3x) = 0
(13 * 25g2l2o2x2 + 3x * 25g2l2o2x2) = 0
(325g2l2o2x2 + 75g2l2o2x3) = 0

Solving
325g2l2o2x2 + 75g2l2o2x3 = 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), '25g2l2o2x2'.
25g2l2o2x2(13 + 3x) = 0

Ignore the factor 25.

Subproblem 1
Set the factor 'g2l2o2x2' equal to zero and attempt to solve:

Simplifying
g2l2o2x2 = 0

Solving
g2l2o2x2 = 0

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

Simplifying
g2l2o2x2 = 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 '(13 + 3x)' equal to zero and attempt to solve:

Simplifying
13 + 3x = 0

Solving
13 + 3x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 3x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 0 + -13
3x = 0 + -13

Combine like terms: 0 + -13 = -13
3x = -13

Add '-3x' to each side of the equation.
3x + -3x = -13 + -3x

Combine like terms: 3x + -3x = 0
0 = -13 + -3x

Simplifying
0 = -13 + -3x

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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