Question

How do you solve `12x^2 = 5x + 2`?

Answer 1

`x=2/3, X=-1/4.`

Explanation:

`12x^2=5x+2. rArr 12x^2-5x-2=0.`

Observe that, `8xx3=24, 8-3=5.`

Spliting `5x` as `8x-3x, 12x^2-8x+3x-2=0.`
`:. 4x(3x-2)+1(3x-2)=0,` or, `(3x-2)(4x+1)=0.`

`:. 3x-2=0, or, 4x+1=0,` giving, `x=2/3, X=-1/4.`