What are the solutions to the equation 3x(x-2)=2(x-2) ?

The solutions to the equation 3x(x-2)=2(x-2) are x=2,x= 2/3

Find the zeros of 3x(x-2)=2(x-2)

The zeros of 3x(x-2)=2(x-2) are x=2,x= 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x (x - 2) = 2 (x - 2)

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

Solution steps

3 x (x - 2) = 2 (x - 2)

Move

2 (x - 2)

to the left side

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

Factor

3 x (x - 2) - 2 (x - 2) : (x - 2) (3 x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 2 = 0 : x = 2

Solve

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

The solutions to the quadratic equation are:

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

3 x^{2} + 6 x = 0

3 x (x - 3) = 7

3 x (x - 3) = 0

4 x^{2} - 64 = 0

- x^{2} + 16 x + 0 = 0

What are the solutions to the equation 3x(x-2)=2(x-2) ?
The solutions to the equation 3x(x-2)=2(x-2) are x=2,x= 2/3
Find the zeros of 3x(x-2)=2(x-2)
The zeros of 3x(x-2)=2(x-2) are x=2,x= 2/3