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Simplifying log(9 + p) = log(5c + -6) (9 * glo + p * glo) = log(5c + -6) (9glo + glop) = log(5c + -6) Reorder the terms: 9glo + glop = glo(-6 + 5c) 9glo + glop = (-6 * glo + 5c * glo) Reorder the terms: 9glo + glop = (5cglo + -6glo) 9glo + glop = (5cglo + -6glo) Solving 9glo + glop = 5cglo + -6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5cglo' to each side of the equation. 9glo + -5cglo + glop = 5cglo + -5cglo + -6glo Reorder the terms: -5cglo + 9glo + glop = 5cglo + -5cglo + -6glo Combine like terms: 5cglo + -5cglo = 0 -5cglo + 9glo + glop = 0 + -6glo -5cglo + 9glo + glop = -6glo Add '6glo' to each side of the equation. -5cglo + 9glo + 6glo + glop = -6glo + 6glo Combine like terms: 9glo + 6glo = 15glo -5cglo + 15glo + glop = -6glo + 6glo Combine like terms: -6glo + 6glo = 0 -5cglo + 15glo + glop = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-5c + 15 + 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 '(-5c + 15 + p)' equal to zero and attempt to solve: Simplifying -5c + 15 + p = 0 Reorder the terms: 15 + -5c + p = 0 Solving 15 + -5c + p = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -5c + -15 + p = 0 + -15 Reorder the terms: 15 + -15 + -5c + p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5c + p = 0 + -15 -5c + p = 0 + -15 Combine like terms: 0 + -15 = -15 -5c + p = -15 Add '5c' to each side of the equation. -5c + 5c + p = -15 + 5c Combine like terms: -5c + 5c = 0 0 + p = -15 + 5c p = -15 + 5c Add '-1p' to each side of the equation. p + -1p = -15 + 5c + -1p Combine like terms: p + -1p = 0 0 = -15 + 5c + -1p Simplifying 0 = -15 + 5c + -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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