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Simplifying 7logb(x) + 5logb(x + 7) = 0 Multiply bglo * x 7bglox + 5logb(x + 7) = 0 Reorder the terms: 7bglox + 5bglo(7 + x) = 0 7bglox + (7 * 5bglo + x * 5bglo) = 0 7bglox + (35bglo + 5bglox) = 0 Reorder the terms: 35bglo + 7bglox + 5bglox = 0 Combine like terms: 7bglox + 5bglox = 12bglox 35bglo + 12bglox = 0 Solving 35bglo + 12bglox = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(35 + 12x) = 0Subproblem 1
Set the factor 'bglo' equal to zero and attempt to solve: Simplifying bglo = 0 Solving bglo = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bglo = 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 '(35 + 12x)' equal to zero and attempt to solve: Simplifying 35 + 12x = 0 Solving 35 + 12x = 0 Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 12x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 12x = 0 + -35 12x = 0 + -35 Combine like terms: 0 + -35 = -35 12x = -35 Add '-12x' to each side of the equation. 12x + -12x = -35 + -12x Combine like terms: 12x + -12x = 0 0 = -35 + -12x Simplifying 0 = -35 + -12x 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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