Question

How do you solve `6x^2 + 3x = 0`?

Answer 1

`color(blue)(x = 0, x = -1/2`

Explanation:

`6x^2 + 3x = 0`

`color(blue)(3x)` is common to both terms.

`color(blue)(3x) ( 2x + 1) = 0`

Equating both factors to zero to obtain solutions.

`3x = 0, x = 0/3 = 0`

`2x + 1 = 0, x = -1/2`