Question

3x2 - 2x = 0 Factorise and solve

Answer 1

 Solve  :    3x-2 = 0  

Add  2  to both sides of the equation :  

                     3x = 2

Divide both sides of the equation by 3:

                    x = 2/3 = 0.667

Two solutions were found :

x = 2/3 = 0.667

x = 0

hope this helped

Answer 2

Answer:

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

x = 0

Step-by-step explanation:

Method 1: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

$x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}$

3x² - 2x = 0

a = 3

b = - 2

c = 0

$x=\frac{-(-2)±\sqrt{(-2)^{2}-4((3)(0)) } }{2(3)}$

$x=\frac{-(-2)±\sqrt{4-4((3)(0)) } }{2(3)}$

$x=\frac{-(-2)±\sqrt{4+0 } }{2(3)}$

$x=\frac{2±\sqrt{4 } }{2(3)}$

$x=\frac{2±2 }{2(3)}$

$x=\frac{2±2 }{6}$

Two separate equations

$x=\frac{2+2 }{6}$

$x=\frac{2-2 }{6}$

$x=\frac{4 }{6}$

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

$x=\frac{0 }{6}$

x = 0

Method 2: Factoring

3x² - 2x = 0

(3x - 2) · x = 0

Two separate equations

3x - 2 = 0

3x - 2 + 2 = 0 + 2

3x = 2

3x ÷ 3 = 2 ÷ 3

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

x = 0