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Simplifying logb(4p + -2) = logb(-5p + 5) Reorder the terms: bglo(-2 + 4p) = logb(-5p + 5) (-2 * bglo + 4p * bglo) = logb(-5p + 5) (-2bglo + 4bglop) = logb(-5p + 5) Reorder the terms: -2bglo + 4bglop = bglo(5 + -5p) -2bglo + 4bglop = (5 * bglo + -5p * bglo) -2bglo + 4bglop = (5bglo + -5bglop) Solving -2bglo + 4bglop = 5bglo + -5bglop Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5bglo' to each side of the equation. -2bglo + -5bglo + 4bglop = 5bglo + -5bglo + -5bglop Combine like terms: -2bglo + -5bglo = -7bglo -7bglo + 4bglop = 5bglo + -5bglo + -5bglop Combine like terms: 5bglo + -5bglo = 0 -7bglo + 4bglop = 0 + -5bglop -7bglo + 4bglop = -5bglop Add '5bglop' to each side of the equation. -7bglo + 4bglop + 5bglop = -5bglop + 5bglop Combine like terms: 4bglop + 5bglop = 9bglop -7bglo + 9bglop = -5bglop + 5bglop Combine like terms: -5bglop + 5bglop = 0 -7bglo + 9bglop = 0 Factor out the Greatest Common Factor (GCF), 'bglo'. bglo(-7 + 9p) = 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 '(-7 + 9p)' equal to zero and attempt to solve: Simplifying -7 + 9p = 0 Solving -7 + 9p = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9p = 0 + 7 9p = 0 + 7 Combine like terms: 0 + 7 = 7 9p = 7 Add '-9p' to each side of the equation. 9p + -9p = 7 + -9p Combine like terms: 9p + -9p = 0 0 = 7 + -9p Simplifying 0 = 7 + -9p 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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