What is the answer to a((1)e^{-6t}-(t)6te^{-6t})=0 ?

The answer to a((1)e^{-6t}-(t)6te^{-6t})=0 is a=0,t=-1/(sqrt(6)),t= 1/(sqrt(6))

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a((1)e^{-6t}-(t)6te^{-6t})=0

a ((1) e^{- 6 t} - (t) 6 t e^{- 6 t}) = 0

a = 0, t = - \frac{1}{6}, t = \frac{1}{6}

Decimal Notation

a = 0, t = - 0.40824 \dots, t = 0.40824 \dots

Solution steps

a ((1) e^{- 6 t} - (t) \cdot 6 t e^{- 6 t}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

a = 0 or 1 \cdot e^{- 6 t} - t \cdot 6 t e^{- 6 t} = 0

a = 0

Solve

1 \cdot e^{- 6 t} - t \cdot 6 t e^{- 6 t} = 0 : t = - \frac{1}{6}, t = \frac{1}{6}

The solutions are

a = 0, t = - \frac{1}{6}, t = \frac{1}{6}

(x^{2} y - y) = 0

2 x (e^{\frac{y}{5}}) = 0

(x + 3) (y - 11) = 0

- e^{- y} (x^{2} + 1) = 0

C (q) = 0.3 q^{2} - 30 q + 30

What is the answer to a((1)e^{-6t}-(t)6te^{-6t})=0 ?
The answer to a((1)e^{-6t}-(t)6te^{-6t})=0 is a=0,t=-1/(sqrt(6)),t= 1/(sqrt(6))