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Simplifying log(k2 + -67) = log(3k + 3) Reorder the terms: glo(-67 + k2) = log(3k + 3) (-67 * glo + k2 * glo) = log(3k + 3) Reorder the terms: (gk2lo + -67glo) = log(3k + 3) (gk2lo + -67glo) = log(3k + 3) Reorder the terms: gk2lo + -67glo = glo(3 + 3k) gk2lo + -67glo = (3 * glo + 3k * glo) Reorder the terms: gk2lo + -67glo = (3gklo + 3glo) gk2lo + -67glo = (3gklo + 3glo) Solving gk2lo + -67glo = 3gklo + 3glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3gklo' to each side of the equation. gk2lo + -3gklo + -67glo = 3gklo + -3gklo + 3glo Reorder the terms: -3gklo + gk2lo + -67glo = 3gklo + -3gklo + 3glo Combine like terms: 3gklo + -3gklo = 0 -3gklo + gk2lo + -67glo = 0 + 3glo -3gklo + gk2lo + -67glo = 3glo Add '-3glo' to each side of the equation. -3gklo + gk2lo + -67glo + -3glo = 3glo + -3glo Combine like terms: -67glo + -3glo = -70glo -3gklo + gk2lo + -70glo = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -3gklo + gk2lo + -70glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-3k + k2 + -70) = 0 Factor a trinomial. glo((k + -10)(k + 7)) = 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 '(k + -10)' equal to zero and attempt to solve: Simplifying k + -10 = 0 Reorder the terms: -10 + k = 0 Solving -10 + k = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + k = 0 + 10 k = 0 + 10 Combine like terms: 0 + 10 = 10 k = 10 Add '-1k' to each side of the equation. k + -1k = 10 + -1k Combine like terms: k + -1k = 0 0 = 10 + -1k Simplifying 0 = 10 + -1k 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 '(k + 7)' equal to zero and attempt to solve: Simplifying k + 7 = 0 Reorder the terms: 7 + k = 0 Solving 7 + k = 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 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Add '-1k' to each side of the equation. k + -1k = -7 + -1k Combine like terms: k + -1k = 0 0 = -7 + -1k Simplifying 0 = -7 + -1k 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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