tx=-xt+xlnt

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Solution for tx=-xt+xlnt equation:


Simplifying
tx = -1xt + xlnt

Reorder the terms:
tx = lntx + -1tx

Solving
tx = lntx + -1tx

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1lntx' to each side of the equation.
-1lntx + tx = lntx + -1lntx + -1tx

Combine like terms: lntx + -1lntx = 0
-1lntx + tx = 0 + -1tx
-1lntx + tx = -1tx

Add 'tx' to each side of the equation.
-1lntx + tx + tx = -1tx + tx

Combine like terms: tx + tx = 2tx
-1lntx + 2tx = -1tx + tx

Combine like terms: -1tx + tx = 0
-1lntx + 2tx = 0

Factor out the Greatest Common Factor (GCF), 'tx'.
tx(-1ln + 2) = 0

Subproblem 1

Set the factor 'tx' equal to zero and attempt to solve: Simplifying tx = 0 Solving tx = 0 Move all terms containing t to the left, all other terms to the right. Simplifying tx = 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 '(-1ln + 2)' equal to zero and attempt to solve: Simplifying -1ln + 2 = 0 Reorder the terms: 2 + -1ln = 0 Solving 2 + -1ln = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1ln = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1ln = 0 + -2 -1ln = 0 + -2 Combine like terms: 0 + -2 = -2 -1ln = -2 Add 'ln' to each side of the equation. -1ln + ln = -2 + ln Combine like terms: -1ln + ln = 0 0 = -2 + ln Simplifying 0 = -2 + ln 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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