# How do you factor and solve 6x^2+3x=0?

Both terms divide by 3 and $x$
$3 x \left(2 x + 1\right) = 0$
$3 x = 0 \mathmr{and} 2 x + 1 = 0$
$x = 0 \mathmr{and} x = - \frac{1}{2}$