What are the solutions to the equation 4x^3+12x^2-9x-27=0 ?

The solutions to the equation 4x^3+12x^2-9x-27=0 are x=-3,x=-3/2 ,x= 3/2

Find the zeros of 4x^3+12x^2-9x-27=0

The zeros of 4x^3+12x^2-9x-27=0 are x=-3,x=-3/2 ,x= 3/2

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4 x^{3} + 12 x^{2} - 9 x - 27 = 0

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

Decimal Notation

x = - 3, x = - 1.5, x = 1.5

Solution steps

4 x^{3} + 12 x^{2} - 9 x - 27 = 0

Factor

4 x^{3} + 12 x^{2} - 9 x - 27 : (x + 3) (2 x + 3) (2 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 3 = 0 : x = - 3

Solve

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

Solve

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

The solutions are

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

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

2 x^{5} - 7 x^{4} + 12 x^{3} + 8 x^{2} = 0

x^{3} - 3 = 0

x^{4} - 2 x = 0

x^{4} - 98 x^{2} + 2401 = 0

What are the solutions to the equation 4x^3+12x^2-9x-27=0 ?
The solutions to the equation 4x^3+12x^2-9x-27=0 are x=-3,x=-3/2 ,x= 3/2
Find the zeros of 4x^3+12x^2-9x-27=0
The zeros of 4x^3+12x^2-9x-27=0 are x=-3,x=-3/2 ,x= 3/2