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Popular >

e^xx^6+6e^xx^5=0

Solution

e^{x} x^{6} + 6 e^{x} x^{5} = 0

Solution

x = 0, x = - 6

Solution steps

e^{x} x^{6} + 6 e^{x} x^{5} = 0

Factor

e^{x} x^{6} + 6 e^{x} x^{5} : e^{x} x^{5} (x + 6)

e^{x} x^{5} (x + 6) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

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

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

x + 6 = 0 : x = - 6

x = 0, x = - 6

Popular Examples

5^{x+2}-5^x=120

5^{x + 2} - 5^{x} = 120

e^{z^{2}} = - 1

(1/8)^{5x}=32^{x+8}

(\frac{1}{8})^{5 x} = 3 2^{x + 8}

2^{2x-3}=5^{2-x}

2^{2 x - 3} = 5^{2 - x}

9^x+3=4\times 3^x

9^{x} + 3 = 4 \times 3^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^xx^6+6e^xx^5=0 ?
The answer to e^xx^6+6e^xx^5=0 is x=0,x=-6