What are the solutions to the equation 7x^6-42x^5=0 ?

The solutions to the equation 7x^6-42x^5=0 are x=0,x=6

Find the zeros of 7x^6-42x^5=0

The zeros of 7x^6-42x^5=0 are x=0,x=6

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7 x^{6} - 42 x^{5} = 0

x = 0, x = 6

Solution steps

7 x^{6} - 42 x^{5} = 0

Factor

7 x^{6} - 42 x^{5} : 7 x^{5} (x - 6)

7 x^{5} (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = 6

8 x^{5} = 32768 x

(2 + x)^{3} - 2 = 2.8 + (- 3)^{2}

2 x^{3} - 3 x^{2} - 23 x + 12 = 0

4 = x^{5} + 2 x + 1

t, M = \frac{5}{8} π t^{5}

What are the solutions to the equation 7x^6-42x^5=0 ?
The solutions to the equation 7x^6-42x^5=0 are x=0,x=6
Find the zeros of 7x^6-42x^5=0
The zeros of 7x^6-42x^5=0 are x=0,x=6