What are the solutions to the equation 4x^3-72x^2+288x=0 ?

The solutions to the equation 4x^3-72x^2+288x=0 are x=0,x=6,x=12

Find the zeros of 4x^3-72x^2+288x=0

The zeros of 4x^3-72x^2+288x=0 are x=0,x=6,x=12

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4 x^{3} - 72 x^{2} + 288 x = 0

x = 0, x = 6, x = 12

Solution steps

4 x^{3} - 72 x^{2} + 288 x = 0

Factor

4 x^{3} - 72 x^{2} + 288 x : 4 x (x - 6) (x - 12)

4 x (x - 6) (x - 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 6 = 0 or x - 12 = 0

Solve

x - 6 = 0 : x = 6

Solve

x - 12 = 0 : x = 12

The solutions are

x = 0, x = 6, x = 12

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

x^{3} - 1 = - x + 9

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

8 x^{5} = 32768 x

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

What are the solutions to the equation 4x^3-72x^2+288x=0 ?
The solutions to the equation 4x^3-72x^2+288x=0 are x=0,x=6,x=12
Find the zeros of 4x^3-72x^2+288x=0
The zeros of 4x^3-72x^2+288x=0 are x=0,x=6,x=12