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Simplifying log(4x + 29) * log(25x2) = 0 Reorder the terms: glo(29 + 4x) * log(25x2) = 0 Remove parenthesis around (25x2) glo(29 + 4x) * glo * 25x2 = 0 Reorder the terms for easier multiplication: 25glo * glo * x2(29 + 4x) = 0 Multiply glo * glo 25g2l2o2 * x2(29 + 4x) = 0 Multiply g2l2o2 * x2 25g2l2o2x2(29 + 4x) = 0 (29 * 25g2l2o2x2 + 4x * 25g2l2o2x2) = 0 (725g2l2o2x2 + 100g2l2o2x3) = 0 Solving 725g2l2o2x2 + 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(29 + 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 '(29 + 4x)' equal to zero and attempt to solve: Simplifying 29 + 4x = 0 Solving 29 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 0 + -29 4x = 0 + -29 Combine like terms: 0 + -29 = -29 4x = -29 Add '-4x' to each side of the equation. 4x + -4x = -29 + -4x Combine like terms: 4x + -4x = 0 0 = -29 + -4x Simplifying 0 = -29 + -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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