Question

How do you solve the quadratic `x^2+3x=0` using any method?

Answer 1

`x=0` or `x=-3`

Explanation:

The general rule for solving a quadratic equation is to make it equal to 0 and factorise if possible.

Exactly this method can apply here.

`x^2 + 3x =0 " common factor of "x`

`color(red)xcolor(blue)((x+3))=0`

If the product of two or more factors is 0, then at least one of them is equal to 0.

`color(red)x` = 0, or `color(blue)(x+3) = 0 " "rArr x= -3`