What are the solutions to the equation 4x^3+16x^2+12x=0 ?

The solutions to the equation 4x^3+16x^2+12x=0 are x=0,x=-1,x=-3

Find the zeros of 4x^3+16x^2+12x=0

The zeros of 4x^3+16x^2+12x=0 are x=0,x=-1,x=-3

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4 x^{3} + 16 x^{2} + 12 x = 0

x = 0, x = - 1, x = - 3

Solution steps

4 x^{3} + 16 x^{2} + 12 x = 0

Factor

4 x^{3} + 16 x^{2} + 12 x : 4 x (x + 1) (x + 3)

4 x (x + 1) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x + 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = - 1, x = - 3

(x^{2} - 1)^{2} + (x^{2} - 1) - 12 = 0

- x^{3} - 3 x^{2} + 25 x - 21 = 0

x^{5} - 3 x^{3} + 1 = 0

4 x^{3} + 2 x - 14 = 0

x^{8} + 15 x^{4} = 16

What are the solutions to the equation 4x^3+16x^2+12x=0 ?
The solutions to the equation 4x^3+16x^2+12x=0 are x=0,x=-1,x=-3
Find the zeros of 4x^3+16x^2+12x=0
The zeros of 4x^3+16x^2+12x=0 are x=0,x=-1,x=-3