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Simplifying Log(2x + 5) * xlog(9x2) = 0 Reorder the terms: goL(5 + 2x) * xlog(9x2) = 0 Remove parenthesis around (9x2) goL(5 + 2x) * glox * 9x2 = 0 Reorder the terms for easier multiplication: 9goL * glox * x2(5 + 2x) = 0 Multiply goL * glox 9g2lo2xL * x2(5 + 2x) = 0 Multiply g2lo2xL * x2 9g2lo2x3L(5 + 2x) = 0 (5 * 9g2lo2x3L + 2x * 9g2lo2x3L) = 0 (45g2lo2x3L + 18g2lo2x4L) = 0 Solving 45g2lo2x3L + 18g2lo2x4L = 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), '9g2lo2x3L'. 9g2lo2x3L(5 + 2x) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'g2lo2x3L' equal to zero and attempt to solve: Simplifying g2lo2x3L = 0 Solving g2lo2x3L = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2lo2x3L = 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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