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Simplifying log12(v2 + 35) = log12(-12v + -1) Reorder the terms: g12lo(35 + v2) = log12(-12v + -1) (35 * g12lo + v2 * g12lo) = log12(-12v + -1) (35g12lo + g12lov2) = log12(-12v + -1) Reorder the terms: 35g12lo + g12lov2 = g12lo(-1 + -12v) 35g12lo + g12lov2 = (-1 * g12lo + -12v * g12lo) 35g12lo + g12lov2 = (-1g12lo + -12g12lov) Solving 35g12lo + g12lov2 = -1g12lo + -12g12lov Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g12lo' to each side of the equation. 35g12lo + g12lo + g12lov2 = -1g12lo + g12lo + -12g12lov Combine like terms: 35g12lo + g12lo = 36g12lo 36g12lo + g12lov2 = -1g12lo + g12lo + -12g12lov Combine like terms: -1g12lo + g12lo = 0 36g12lo + g12lov2 = 0 + -12g12lov 36g12lo + g12lov2 = -12g12lov Add '12g12lov' to each side of the equation. 36g12lo + 12g12lov + g12lov2 = -12g12lov + 12g12lov Combine like terms: -12g12lov + 12g12lov = 0 36g12lo + 12g12lov + g12lov2 = 0 Factor out the Greatest Common Factor (GCF), 'g12lo'. g12lo(36 + 12v + v2) = 0 Factor a trinomial. g12lo((6 + v)(6 + v)) = 0Subproblem 1
Set the factor 'g12lo' equal to zero and attempt to solve: Simplifying g12lo = 0 Solving g12lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g12lo = 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 '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Add '-1v' to each side of the equation. v + -1v = -6 + -1v Combine like terms: v + -1v = 0 0 = -6 + -1v Simplifying 0 = -6 + -1v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Add '-1v' to each side of the equation. v + -1v = -6 + -1v Combine like terms: v + -1v = 0 0 = -6 + -1v Simplifying 0 = -6 + -1v 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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