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

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

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

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

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

Solution steps

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

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

3^{3 x} = 81

5^{x + 2} - 5^{x} + 5^{x - 1} = 121

3 \times 2^{2 x} - 10 (2)^{x} = 0

1 6^{3 x - 3} = 6 4^{x + 3}

2^{2 + x} - 2^{2 - x} = 15

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