Question

How do you solve `|3x + 10| = | - 3x - 10|`?

Answer 1

`x=+-10/3`

Explanation:

Square both sides to keep the equations positive:
`9x^2 + 60x + 100 = -9x^2 + 60x +100`

Collecting:
`18x^2 + 200 = 0`
`2(9x^2 + 100) = 0`
`2(3x+10)(3x-10) = 0`

Gives the answer above