Question

How do you solve `5x^2 = 100` by factoring?

Answer 1

Make the LHS quadratic and RHS = 0

Explanation:

`5x^2 = 100`
`x^2=20`
`x^2-20=0`
`(x+sqrt(20))(x-sqrt(20))=0`
`(x+2sqrt(5))(x-2sqrt(5))=0`
`x=-2sqrt(5)` or `x=2sqrt(5)`