How do you solve 2x212x+18=0?

1 Answer
Apr 30, 2018

The only solution is x=3.

Explanation:

First, divide everything by 2.

2x212x+18=0

x26x+9=0

Then, find two numbers that multiply to 9 (the last number) and add up to 6 (the middle number). These two numbers are 3 and 3. Split the x terms up into these values:

x23x3x+9=0

Now factor the first two and last two terms separately:

x(x3)3x+9=0

x(x3)3(x3)=0

(x3)(x3)=0

(x3)2=0

x3=0

x3=0

x=3

That's the only solution. Hope this helped!