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Simplifying log(-30 + n2) = log(2n2 + -11n) (-30 * glo + n2 * glo) = log(2n2 + -11n) Reorder the terms: (gln2o + -30glo) = log(2n2 + -11n) (gln2o + -30glo) = log(2n2 + -11n) Reorder the terms: gln2o + -30glo = glo(-11n + 2n2) gln2o + -30glo = (-11n * glo + 2n2 * glo) gln2o + -30glo = (-11glno + 2gln2o) Solving gln2o + -30glo = -11glno + 2gln2o Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11glno' to each side of the equation. gln2o + 11glno + -30glo = -11glno + 11glno + 2gln2o Reorder the terms: 11glno + gln2o + -30glo = -11glno + 11glno + 2gln2o Combine like terms: -11glno + 11glno = 0 11glno + gln2o + -30glo = 0 + 2gln2o 11glno + gln2o + -30glo = 2gln2o Add '-2gln2o' to each side of the equation. 11glno + gln2o + -2gln2o + -30glo = 2gln2o + -2gln2o Combine like terms: gln2o + -2gln2o = -1gln2o 11glno + -1gln2o + -30glo = 2gln2o + -2gln2o Combine like terms: 2gln2o + -2gln2o = 0 11glno + -1gln2o + -30glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(11n + -1n2 + -30) = 0 Factor a trinomial. glo((-1n + 5)(n + -6)) = 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 '(-1n + 5)' equal to zero and attempt to solve: Simplifying -1n + 5 = 0 Reorder the terms: 5 + -1n = 0 Solving 5 + -1n = 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 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Add 'n' to each side of the equation. -1n + n = -5 + n Combine like terms: -1n + n = 0 0 = -5 + n Simplifying 0 = -5 + n 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 '(n + -6)' equal to zero and attempt to solve: Simplifying n + -6 = 0 Reorder the terms: -6 + n = 0 Solving -6 + n = 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 + n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + n = 0 + 6 n = 0 + 6 Combine like terms: 0 + 6 = 6 n = 6 Add '-1n' to each side of the equation. n + -1n = 6 + -1n Combine like terms: n + -1n = 0 0 = 6 + -1n Simplifying 0 = 6 + -1n 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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