What are the solutions to the equation x^7-7x^6=0 ?

The solutions to the equation x^7-7x^6=0 are x=0,x=7

Find the zeros of x^7-7x^6=0

The zeros of x^7-7x^6=0 are x=0,x=7

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x^{7} - 7 x^{6} = 0

x = 0, x = 7

Solution steps

x^{7} - 7 x^{6} = 0

Factor

x^{7} - 7 x^{6} : x^{6} (x - 7)

x^{6} (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 7 = 0

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = 7

12 x^{4} - 7 x^{2} - 6 x + 16 x^{3} = 0

19 = 32 (1 - b)^{26}

x^{3} + x = - 2

x^{3} + x = 10

x^{5} - 3 x^{3} - 4 x^{2} + 2 x + 4 = 0

What are the solutions to the equation x^7-7x^6=0 ?
The solutions to the equation x^7-7x^6=0 are x=0,x=7
Find the zeros of x^7-7x^6=0
The zeros of x^7-7x^6=0 are x=0,x=7