What are the solutions to the equation 4x^3+16x^2+28x=0 ?

The solutions to the equation 4x^3+16x^2+28x=0 are x=0,x=-2+sqrt(3)i,x=-2-sqrt(3)i

Find the zeros of 4x^3+16x^2+28x=0

The zeros of 4x^3+16x^2+28x=0 are x=0,x=-2+sqrt(3)i,x=-2-sqrt(3)i

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4 x^{3} + 16 x^{2} + 28 x = 0

x = 0, x = - 2 + 3 i, x = - 2 - 3 i

Solution steps

4 x^{3} + 16 x^{2} + 28 x = 0

Factor

4 x^{3} + 16 x^{2} + 28 x : 4 x (x^{2} + 4 x + 7)

4 x (x^{2} + 4 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 4 x + 7 = 0

Solve

x^{2} + 4 x + 7 = 0 : x = - 2 + 3 i, x = - 2 - 3 i

The solutions are

x = 0, x = - 2 + 3 i, x = - 2 - 3 i

6 x^{3} - 14 x^{2} = 0

x^{6} = 4 x^{4}

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

y, (y + 5)^{3} = x

- A^{3} - 4 A^{2} + 3 A - 2 = 0

What are the solutions to the equation 4x^3+16x^2+28x=0 ?
The solutions to the equation 4x^3+16x^2+28x=0 are x=0,x=-2+sqrt(3)i,x=-2-sqrt(3)i
Find the zeros of 4x^3+16x^2+28x=0
The zeros of 4x^3+16x^2+28x=0 are x=0,x=-2+sqrt(3)i,x=-2-sqrt(3)i