(3)/(5) {x}^(2) - 2 = - 5 single variable quadratics

Question

`(3)/(5) {x}^(2) - 2 = - 5`
single variable quadratics

Answer 1

Firstly, add 2 to both sides of the equation:
`(3)/(5)x^2=-3`

Next, multiply both sides by 5/3:
`x^2=-5`

Next, square root both sides:
`x= \pm √(-5)`

Lastly, factor out i (i = √-1) and your answer will be
`x= \pm √(5)i`