log(4x+33)*log(25x^2)=0

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Solution for log(4x+33)*log(25x^2)=0 equation: 


Simplifying
log(4x + 33) * log(25x2) = 0

Reorder the terms:
glo(33 + 4x) * log(25x2) = 0

Remove parenthesis around (25x2)
glo(33 + 4x) * glo * 25x2 = 0

Reorder the terms for easier multiplication:
25glo * glo * x2(33 + 4x) = 0

Multiply glo * glo
25g2l2o2 * x2(33 + 4x) = 0

Multiply g2l2o2 * x2
25g2l2o2x2(33 + 4x) = 0
(33 * 25g2l2o2x2 + 4x * 25g2l2o2x2) = 0
(825g2l2o2x2 + 100g2l2o2x3) = 0

Solving
825g2l2o2x2 + 100g2l2o2x3 = 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(33 + 4x) = 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 '(33 + 4x)' equal to zero and attempt to solve:

Simplifying
33 + 4x = 0

Solving
33 + 4x = 0

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

Add '-33' to each side of the equation.
33 + -33 + 4x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 4x = 0 + -33
4x = 0 + -33

Combine like terms: 0 + -33 = -33
4x = -33

Add '-4x' to each side of the equation.
4x + -4x = -33 + -4x

Combine like terms: 4x + -4x = 0
0 = -33 + -4x

Simplifying
0 = -33 + -4x

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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