What are the solutions to the equation 0=2x^3+3x^2-18x-27 ?

The solutions to the equation 0=2x^3+3x^2-18x-27 are x=-3/2 ,x=-3,x=3

Find the zeros of 0=2x^3+3x^2-18x-27

The zeros of 0=2x^3+3x^2-18x-27 are x=-3/2 ,x=-3,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0 = 2 x^{3} + 3 x^{2} - 18 x - 27

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

Decimal Notation

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

Solution steps

0 = 2 x^{3} + 3 x^{2} - 18 x - 27

Switch sides

2 x^{3} + 3 x^{2} - 18 x - 27 = 0

Factor

2 x^{3} + 3 x^{2} - 18 x - 27 : (2 x + 3) (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

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

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

x^{4} - 65 x^{2} + 64 = 0

x^{3} + 9 x^{2} + 24 x + 15 = 0

x^{4} - 8 x^{3} + 17 x^{2} + 2 x - 24 = 0

x^{3} + 19 x^{2} + 103 x - 135 = 0

What are the solutions to the equation 0=2x^3+3x^2-18x-27 ?
The solutions to the equation 0=2x^3+3x^2-18x-27 are x=-3/2 ,x=-3,x=3
Find the zeros of 0=2x^3+3x^2-18x-27
The zeros of 0=2x^3+3x^2-18x-27 are x=-3/2 ,x=-3,x=3