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Simplifying 0 = 4ln((T3) + -5t + 6) 0 = 4ln(T3 + -5t + 6) Reorder the terms: 0 = 4ln(6 + T3 + -5t) 0 = (6 * 4ln + T3 * 4ln + -5t * 4ln) 0 = (24ln + 4lnT3 + -20lnt) Solving 0 = 24ln + 4lnT3 + -20lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-24ln' to each side of the equation. 0 + -24ln = 24ln + 4lnT3 + -24ln + -20lnt Remove the zero: -24ln = 24ln + 4lnT3 + -24ln + -20lnt Reorder the terms: -24ln = 24ln + -24ln + 4lnT3 + -20lnt Combine like terms: 24ln + -24ln = 0 -24ln = 0 + 4lnT3 + -20lnt -24ln = 4lnT3 + -20lnt Add '-4lnT3' to each side of the equation. -24ln + -4lnT3 = 4lnT3 + -4lnT3 + -20lnt Combine like terms: 4lnT3 + -4lnT3 = 0 -24ln + -4lnT3 = 0 + -20lnt -24ln + -4lnT3 = -20lnt Add '20lnt' to each side of the equation. -24ln + -4lnT3 + 20lnt = -20lnt + 20lnt Combine like terms: -20lnt + 20lnt = 0 -24ln + -4lnT3 + 20lnt = 0 Factor out the Greatest Common Factor (GCF), '4ln'. 4ln(-6 + -1T3 + 5t) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 + -1T3 + 5t)' equal to zero and attempt to solve: Simplifying -6 + -1T3 + 5t = 0 Solving -6 + -1T3 + 5t = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1T3 + 6 + 5t = 0 + 6 Reorder the terms: -6 + 6 + -1T3 + 5t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1T3 + 5t = 0 + 6 -1T3 + 5t = 0 + 6 Combine like terms: 0 + 6 = 6 -1T3 + 5t = 6 Add 'T3' to each side of the equation. -1T3 + T3 + 5t = 6 + T3 Combine like terms: -1T3 + T3 = 0 0 + 5t = 6 + T3 5t = 6 + T3 Add '-5t' to each side of the equation. 5t + -5t = 6 + T3 + -5t Combine like terms: 5t + -5t = 0 0 = 6 + T3 + -5t Simplifying 0 = 6 + T3 + -5t 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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