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