What are the solutions to the equation 6x^5-30x^4=0 ?

The solutions to the equation 6x^5-30x^4=0 are x=0,x=5

Find the zeros of 6x^5-30x^4=0

The zeros of 6x^5-30x^4=0 are x=0,x=5

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6 x^{5} - 30 x^{4} = 0

x = 0, x = 5

Solution steps

6 x^{5} - 30 x^{4} = 0

Factor

6 x^{5} - 30 x^{4} : 6 x^{4} (x - 5)

6 x^{4} (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = 5

6 x^{3} - 29 x^{2} - 6 x + 5

4 x^{3} - 8 x^{2} + x + 3 = 0

x^{3} + 2 x^{2} - x - 2

0 = 4 x^{3} - 12 x^{2} - 36 x

(1 + x)^{10} = \frac{1000}{910}

What are the solutions to the equation 6x^5-30x^4=0 ?
The solutions to the equation 6x^5-30x^4=0 are x=0,x=5
Find the zeros of 6x^5-30x^4=0
The zeros of 6x^5-30x^4=0 are x=0,x=5