Question

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

Answer 1

`x = 4 or x = -3/2`

Explanation:

`2x^2 - 5x -12 =0`

or, `2x^2 - 8x + 3x - 12 = 0`

or, `2x(x - 4) + 3(x - 4) = 0`

or, `(x - 4)(2x + 3) = 0`

`rarr x = 4 and x = - 3/2`