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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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