What are the solutions to the equation -4x^3+24x^2-36x=0 ?

The solutions to the equation -4x^3+24x^2-36x=0 are x=0,x=3

Find the zeros of -4x^3+24x^2-36x=0

The zeros of -4x^3+24x^2-36x=0 are x=0,x=3

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- 4 x^{3} + 24 x^{2} - 36 x = 0

x = 0, x = 3

Solution steps

- 4 x^{3} + 24 x^{2} - 36 x = 0

Factor

- 4 x^{3} + 24 x^{2} - 36 x : - 4 x (x - 3)^{2}

- 4 x (x - 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 3 = 0

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3

4 x^{3} + 5 x^{2} + 12 x + 15 = 0

x^{4} - 8 x^{2} - 16 = 0

v^{3} = 27

x^{3} = 3937.5

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

What are the solutions to the equation -4x^3+24x^2-36x=0 ?
The solutions to the equation -4x^3+24x^2-36x=0 are x=0,x=3
Find the zeros of -4x^3+24x^2-36x=0
The zeros of -4x^3+24x^2-36x=0 are x=0,x=3