Question

Solve the following quadratic equations by factorization: 

`2(x^2 – 6) = 3 ( x – 4)` 

Answer 1

`2(x^2 – 6) = 3 ( x – 4)`
`⟹ 2x^2 – 12 = 13x – 12`
`⟹ 2x^2 – 3x = 0`
`⟹ x(2x – 3) = 0`
Since ` x = 0  "Or"  2x – 3 = 0`
Then ` x = 0  "Or"  x = 3/2`