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

10 = 500 (b)^{3}

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

x^{3} - 15 x^{2} + 54 x = 0

x^{4} - 2 x^{2} - 1 = 0

x^{4} - x^{2} - 30 = 0

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