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Popular >

0=e^xx^2-e^x

Solution

0 = e^{x} x^{2} - e^{x}

Solution

x = - 1, x = 1

Solution steps

0 = e^{x} x^{2} - e^{x}

Factor

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

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{x} = 0 or x + 1 = 0 or x - 1 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

x = - 1, x = 1

Popular Examples

8^{x-5}= 1/16 sqrt(2)

8^{x - 5} = \frac{1}{16} 2

e^{13 x + 1} = k

18^0=(18^w)/(18^7)

1 8^{0} = \frac{1 8 ^{w}}{1 8 ^{7}}

(25^x)/(25)=125^{x-3}

\frac{2 5 ^{x}}{25} = 12 5^{x - 3}

3^{n+1}*243=3^{-3n}

3^{n + 1} \cdot 243 = 3^{- 3 n}

Frequently Asked Questions (FAQ)

What is the answer to 0=e^xx^2-e^x ?
The answer to 0=e^xx^2-e^x is x=-1,x=1