What are the solutions to the equation 18q^3-8q=0 ?

The solutions to the equation 18q^3-8q=0 are q=0,q=-2/3 ,q= 2/3

Find the zeros of 18q^3-8q=0

The zeros of 18q^3-8q=0 are q=0,q=-2/3 ,q= 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

18 q^{3} - 8 q = 0

q = 0, q = - \frac{2}{3}, q = \frac{2}{3}

Decimal Notation

q = 0, q = - 0.66666 \dots, q = 0.66666 \dots

Solution steps

18 q^{3} - 8 q = 0

Factor

18 q^{3} - 8 q : 2 q (3 q + 2) (3 q - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

q = 0 or 3 q + 2 = 0 or 3 q - 2 = 0

Solve

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

Solve

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

The solutions are

q = 0, q = - \frac{2}{3}, q = \frac{2}{3}

0 = x^{3} + 4 x^{2} - 9 x - 36

2 x^{3} - 5 x^{2} - 14 x + 8 = 0

x^{4} + 10 x^{3} + 25 x^{2} = 0

5 c^{3} + 10 c^{2} - 75 c = 0

(s - 1)^{2} (s - 3)^{2} = 0

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