What are the solutions to the equation 18x^3-27x^2-50x+75=0 ?

The solutions to the equation 18x^3-27x^2-50x+75=0 are x= 3/2 ,x=-5/3 ,x= 5/3

Find the zeros of 18x^3-27x^2-50x+75=0

The zeros of 18x^3-27x^2-50x+75=0 are x= 3/2 ,x=-5/3 ,x= 5/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18 x^{3} - 27 x^{2} - 50 x + 75 = 0

x = \frac{3}{2}, x = - \frac{5}{3}, x = \frac{5}{3}

Decimal Notation

x = 1.5, x = - 1.66666 \dots, x = 1.66666 \dots

Solution steps

18 x^{3} - 27 x^{2} - 50 x + 75 = 0

Factor

18 x^{3} - 27 x^{2} - 50 x + 75 : (2 x - 3) (3 x + 5) (3 x - 5)

(2 x - 3) (3 x + 5) (3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 3 = 0 or 3 x + 5 = 0 or 3 x - 5 = 0

Solve

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

Solve

3 x + 5 = 0 : x = - \frac{5}{3}

Solve

3 x - 5 = 0 : x = \frac{5}{3}

The solutions are

x = \frac{3}{2}, x = - \frac{5}{3}, x = \frac{5}{3}

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

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

x^{3} - 4 x^{2} + 20 x - 77 = 0

(x + 10)^{5} = 70

2 x^{7} - x^{6} + 9 = 0

What are the solutions to the equation 18x^3-27x^2-50x+75=0 ?
The solutions to the equation 18x^3-27x^2-50x+75=0 are x= 3/2 ,x=-5/3 ,x= 5/3
Find the zeros of 18x^3-27x^2-50x+75=0
The zeros of 18x^3-27x^2-50x+75=0 are x= 3/2 ,x=-5/3 ,x= 5/3