# How do you factor 15x²+18x+3?

Mar 22, 2018

$x = - 1 \mathmr{and} - \frac{1}{5}$

#### Explanation:

We will solve this quadratic equation using factorisation method, which goes as follows :-
$15 {x}^{2} + 18 x + 3 = 0$

$15 {x}^{2} + 3 x + 15 x + 3 = 0$

$3 x \left(5 x + 1\right) + 3 \left(5 x + 1\right) = 0$

(3x+3) × (5x+1)=0

$3 x + 3 = 0 \mathmr{and} 5 x + 1 = 0$

$x = - \frac{3}{3} \mathmr{and} x = - \frac{1}{5}$

$x = - 1 \mathmr{and} x = - \frac{1}{5}$