Question

How do you solve `3x^2-4x=4`?

Answer 1

`color(green)( x=-2/3 and x=2`

Explanation:

Here, we can first factorise the expression and thereby find the solutions:

Factorising by splitting the middle term
`3x^2-4x -4 = 0`
`3x^2-6x + 2x -4 =0`
`3x(x-2) +2(x-2) = 0`
`color(green)( (3x+2)(x-2) =0`

Equating the factors with zero
`3x +2 = 0 , x = -2/3`
`x-2 = 0 , x=2`

So the solutions are:
`color(green)( x=-2/3 and x=2`