log(2x+5)log(9x^2)=0

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Solution for log(2x+5)log(9x^2)=0 equation:


Simplifying
log(2x + 5) * log(9x2) = 0

Reorder the terms:
glo(5 + 2x) * log(9x2) = 0

Remove parenthesis around (9x2)
glo(5 + 2x) * glo * 9x2 = 0

Reorder the terms for easier multiplication:
9glo * glo * x2(5 + 2x) = 0

Multiply glo * glo
9g2l2o2 * x2(5 + 2x) = 0

Multiply g2l2o2 * x2
9g2l2o2x2(5 + 2x) = 0
(5 * 9g2l2o2x2 + 2x * 9g2l2o2x2) = 0
(45g2l2o2x2 + 18g2l2o2x3) = 0

Solving
45g2l2o2x2 + 18g2l2o2x3 = 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), '9g2l2o2x2'.
9g2l2o2x2(5 + 2x) = 0

Ignore the factor 9.

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 '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x 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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