What is the answer to e^xx^2(x^2+x-6)=0 ?

The answer to e^xx^2(x^2+x-6)=0 is x=0,x=2,x=-3

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e^xx^2(x^2+x-6)=0

e^{x} x^{2} (x^{2} + x - 6) = 0

x = 0, x = 2, x = - 3

Solution steps

e^{x} x^{2} (x^{2} + x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{x} = 0 or x = 0 or x^{2} + x - 6 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x^{2} + x - 6 = 0 : x = 2, x = - 3

x = 0, x = 2, x = - 3

t, E^{- 18 t} = \frac{15}{4}

6 (2^{3 x - 1}) - 7 = 9

3^{x + 2} - 5 \times 3^{x} = 36

e^{7 x} = 2

e^{7 x} = 6

What is the answer to e^xx^2(x^2+x-6)=0 ?
The answer to e^xx^2(x^2+x-6)=0 is x=0,x=2,x=-3