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Simplifying log(-4p + 9) = log(-5p + -4) Reorder the terms: glo(9 + -4p) = log(-5p + -4) (9 * glo + -4p * glo) = log(-5p + -4) (9glo + -4glop) = log(-5p + -4) Reorder the terms: 9glo + -4glop = glo(-4 + -5p) 9glo + -4glop = (-4 * glo + -5p * glo) 9glo + -4glop = (-4glo + -5glop) Solving 9glo + -4glop = -4glo + -5glop Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glo' to each side of the equation. 9glo + 4glo + -4glop = -4glo + 4glo + -5glop Combine like terms: 9glo + 4glo = 13glo 13glo + -4glop = -4glo + 4glo + -5glop Combine like terms: -4glo + 4glo = 0 13glo + -4glop = 0 + -5glop 13glo + -4glop = -5glop Add '5glop' to each side of the equation. 13glo + -4glop + 5glop = -5glop + 5glop Combine like terms: -4glop + 5glop = 1glop 13glo + 1glop = -5glop + 5glop Combine like terms: -5glop + 5glop = 0 13glo + 1glop = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(13 + p) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(13 + p)' equal to zero and attempt to solve: Simplifying 13 + p = 0 Solving 13 + p = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Add '-1p' to each side of the equation. p + -1p = -13 + -1p Combine like terms: p + -1p = 0 0 = -13 + -1p Simplifying 0 = -13 + -1p 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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