What are the solutions to the equation 2x^3+9x^2+13x+6=0 ?

The solutions to the equation 2x^3+9x^2+13x+6=0 are x=-1,x=-3/2 ,x=-2

Find the zeros of 2x^3+9x^2+13x+6=0

The zeros of 2x^3+9x^2+13x+6=0 are x=-1,x=-3/2 ,x=-2

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2 x^{3} + 9 x^{2} + 13 x + 6 = 0

x = - 1, x = - \frac{3}{2}, x = - 2

Decimal Notation

x = - 1, x = - 1.5, x = - 2

Solution steps

2 x^{3} + 9 x^{2} + 13 x + 6 = 0

Factor

2 x^{3} + 9 x^{2} + 13 x + 6 : (x + 1) (2 x + 3) (x + 2)

(x + 1) (2 x + 3) (x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or 2 x + 3 = 0 or x + 2 = 0

Solve

x + 1 = 0 : x = - 1

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

x + 2 = 0 : x = - 2

The solutions are

x = - 1, x = - \frac{3}{2}, x = - 2

x^{4} + 6 x^{2} + 8 = 0

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

(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

What are the solutions to the equation 2x^3+9x^2+13x+6=0 ?
The solutions to the equation 2x^3+9x^2+13x+6=0 are x=-1,x=-3/2 ,x=-2
Find the zeros of 2x^3+9x^2+13x+6=0
The zeros of 2x^3+9x^2+13x+6=0 are x=-1,x=-3/2 ,x=-2