What are the solutions to the equation 4x^3+8x^2-9x-18=0 ?

The solutions to the equation 4x^3+8x^2-9x-18=0 are x=-2,x=-3/2 ,x= 3/2

Find the zeros of 4x^3+8x^2-9x-18=0

The zeros of 4x^3+8x^2-9x-18=0 are x=-2,x=-3/2 ,x= 3/2

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4 x^{3} + 8 x^{2} - 9 x - 18 = 0

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

Decimal Notation

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

Solution steps

4 x^{3} + 8 x^{2} - 9 x - 18 = 0

Factor

4 x^{3} + 8 x^{2} - 9 x - 18 : (x + 2) (2 x + 3) (2 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

x + 2 = 0 : x = - 2

Solve

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

Solve

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

The solutions are

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

4 x^{3} - 12 x^{2} - 2 x + 6 = 0

x, 10 x^{9} - 9 x^{10} = 0.75

m^{3} - m = 0

- x^{3} + 8 x = 0

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

What are the solutions to the equation 4x^3+8x^2-9x-18=0 ?
The solutions to the equation 4x^3+8x^2-9x-18=0 are x=-2,x=-3/2 ,x= 3/2
Find the zeros of 4x^3+8x^2-9x-18=0
The zeros of 4x^3+8x^2-9x-18=0 are x=-2,x=-3/2 ,x= 3/2