log(-p-9)=log(-4p+6)

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Solution for log(-p-9)=log(-4p+6) equation:


Simplifying
log(-1p + -9) = log(-4p + 6)

Reorder the terms:
glo(-9 + -1p) = log(-4p + 6)
(-9 * glo + -1p * glo) = log(-4p + 6)
(-9glo + -1glop) = log(-4p + 6)

Reorder the terms:
-9glo + -1glop = glo(6 + -4p)
-9glo + -1glop = (6 * glo + -4p * glo)
-9glo + -1glop = (6glo + -4glop)

Solving
-9glo + -1glop = 6glo + -4glop

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-6glo' to each side of the equation.
-9glo + -6glo + -1glop = 6glo + -6glo + -4glop

Combine like terms: -9glo + -6glo = -15glo
-15glo + -1glop = 6glo + -6glo + -4glop

Combine like terms: 6glo + -6glo = 0
-15glo + -1glop = 0 + -4glop
-15glo + -1glop = -4glop

Add '4glop' to each side of the equation.
-15glo + -1glop + 4glop = -4glop + 4glop

Combine like terms: -1glop + 4glop = 3glop
-15glo + 3glop = -4glop + 4glop

Combine like terms: -4glop + 4glop = 0
-15glo + 3glop = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(-5 + p) = 0

Ignore the factor 3.

Subproblem 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 '(-5 + p)' equal to zero and attempt to solve: Simplifying -5 + p = 0 Solving -5 + p = 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 + p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + p = 0 + 5 p = 0 + 5 Combine like terms: 0 + 5 = 5 p = 5 Add '-1p' to each side of the equation. p + -1p = 5 + -1p Combine like terms: p + -1p = 0 0 = 5 + -1p Simplifying 0 = 5 + -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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