How do you factor and solve x(2x-1)=0?

1 Answer
Aug 1, 2016

x = 0 and x = 1/2
Factor the equation and solve for each factor separately
x = 0 and 2x-1 = 0

Explanation:

x= 0" or "2x-1 = 0

Solve 2x-1 = 0 by working backwards PE SADM
add the opposite of -1 to both sides

2x - 1 + 1 = 0 + 1

( -1 + 1 = 0)

Divide both sides by 2 the opposite of multiplying by 2

(2x)/2= 1/2

(2/2 = 1)

x =1/2

As this equation has two factors with x, it has two possible solutions.

The first solution is x= 0
The second is x = 1/2