What are the solutions to the equation 4x^3-12x^2=0 ?

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

Find the zeros of 4x^3-12x^2=0

The zeros of 4x^3-12x^2=0 are x=0,x=3

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

x = 0, x = 3

Solution steps

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

Factor

4 x^{3} - 12 x^{2} : 4 x^{2} (x - 3)

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

x^{3} - 216 = 0

x^{3} - x^{2} - 6 x = 0

x^{3} (x^{2} - 5) = - 4 x

x^{3} + 5 x^{2} + 6 x = 0

z^{5} = - 1

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