What are the solutions to the equation 4x^3+6x^2+2x=0 ?

The solutions to the equation 4x^3+6x^2+2x=0 are x=0,x=-1/2 ,x=-1

Find the zeros of 4x^3+6x^2+2x=0

The zeros of 4x^3+6x^2+2x=0 are x=0,x=-1/2 ,x=-1

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

x = 0, x = - \frac{1}{2}, x = - 1

Decimal Notation

x = 0, x = - 0.5, x = - 1

Solution steps

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

Factor

4 x^{3} + 6 x^{2} + 2 x : 2 x (2 x + 1) (x + 1)

2 x (2 x + 1) (x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or x + 1 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

x + 1 = 0 : x = - 1

The solutions are

x = 0, x = - \frac{1}{2}, x = - 1

x^{4} = 8 x

x^{3} + 5 x^{2} - 20 = 0

18 x^{3} + 9 x^{2} - 2 x - 1 = 0

4 x^{3} - 1 = 2 x^{2} - 2 x

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

What are the solutions to the equation 4x^3+6x^2+2x=0 ?
The solutions to the equation 4x^3+6x^2+2x=0 are x=0,x=-1/2 ,x=-1
Find the zeros of 4x^3+6x^2+2x=0
The zeros of 4x^3+6x^2+2x=0 are x=0,x=-1/2 ,x=-1