Question

How do you solve `4( 2x - 3) ^ { 2} - ( 2x - 3) - 14= 0`?

Answer 1

`x=5/2`

Explanation:

`4(4x^2-12x+9)-2x+3-14=0`
`16x^2-48x+36-2x+3-14=0`
`16x^2-50x+25=0`
Solving for `x`,
Quadratic Formula:
`(50+√2500-1600)/32`
`(50+30)/32`
`80/32`
`5/2`