What are the solutions to the equation 3x^3-24x^2+21x=0 ?

The solutions to the equation 3x^3-24x^2+21x=0 are x=0,x=1,x=7

Find the zeros of 3x^3-24x^2+21x=0

The zeros of 3x^3-24x^2+21x=0 are x=0,x=1,x=7

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3 x^{3} - 24 x^{2} + 21 x = 0

x = 0, x = 1, x = 7

Solution steps

3 x^{3} - 24 x^{2} + 21 x = 0

Factor

3 x^{3} - 24 x^{2} + 21 x : 3 x (x - 1) (x - 7)

3 x (x - 1) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x - 7 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = 1, x = 7

x^{3} - 6 x = 3 x^{2} - 8

y^{4} - 4 y = 0

3 s^{3} - 5 s + 2 = 0

4 x^{4} + 5 x^{2} - 9 = 0

(x^{2} + 4 x)^{2} - 17 (x^{2} + 4 x) = 60

What are the solutions to the equation 3x^3-24x^2+21x=0 ?
The solutions to the equation 3x^3-24x^2+21x=0 are x=0,x=1,x=7
Find the zeros of 3x^3-24x^2+21x=0
The zeros of 3x^3-24x^2+21x=0 are x=0,x=1,x=7