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Solve for t
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12te^{0t}-5=0
Multiply 0 and 5 to get 0.
12te^{0}-5=0
Anything times zero gives zero.
12t\times 1-5=0
Calculate e to the power of 0 and get 1.
12t-5=0
Multiply 12 and 1 to get 12.
12t=5
Add 5 to both sides. Anything plus zero gives itself.
t=\frac{5}{12}
Divide both sides by 12.