What is the answer to 5e^{-9x}x^4-9e^{-9x}x^5=0 ?

The answer to 5e^{-9x}x^4-9e^{-9x}x^5=0 is x=0,x= 5/9

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5e^{-9x}x^4-9e^{-9x}x^5=0

5 e^{- 9 x} x^{4} - 9 e^{- 9 x} x^{5} = 0

x = 0, x = \frac{5}{9}

Decimal Notation

x = 0, x = 0.55555 \dots

Solution steps

5 e^{- 9 x} x^{4} - 9 e^{- 9 x} x^{5} = 0

Factor

5 e^{- 9 x} x^{4} - 9 e^{- 9 x} x^{5} : e^{- 9 x} x^{4} (5 - 9 x)

e^{- 9 x} x^{4} (5 - 9 x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{- 9 x} = 0 or x = 0 or 5 - 9 x = 0

Solve

e^{- 9 x} = 0 :

No Solution for

x \in R

Solve

5 - 9 x = 0 : x = \frac{5}{9}

x = 0, x = \frac{5}{9}

4 e^{4 x} = 87

(\frac{1}{81})^{7} = 2 7^{6 x}

40 - 23 = 327 e^{- 9.22 \times 1 0^{- 4} t}

0. 3^{3 x - 2} = 1

2^{l o g_{8} (5 x - 3)} = 4

What is the answer to 5e^{-9x}x^4-9e^{-9x}x^5=0 ?
The answer to 5e^{-9x}x^4-9e^{-9x}x^5=0 is x=0,x= 5/9