What are the solutions to the equation 42x^5-210x^4=0 ?

The solutions to the equation 42x^5-210x^4=0 are x=0,x=5

Find the zeros of 42x^5-210x^4=0

The zeros of 42x^5-210x^4=0 are x=0,x=5

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42 x^{5} - 210 x^{4} = 0

x = 0, x = 5

Solution steps

42 x^{5} - 210 x^{4} = 0

Factor

42 x^{5} - 210 x^{4} : 42 x^{4} (x - 5)

42 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

x^{2} (1 - x) = 0

0 = x^{3} + 2 x - 1

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

2 x - 5 x^{2} + 8 x^{3} = 0

x^{3} + x^{2} - 2 x = 1

What are the solutions to the equation 42x^5-210x^4=0 ?
The solutions to the equation 42x^5-210x^4=0 are x=0,x=5
Find the zeros of 42x^5-210x^4=0
The zeros of 42x^5-210x^4=0 are x=0,x=5