# How do you solve 4x^2- 4x - 3=0?

Dec 23, 2015

Find factors of a and c that combine to give b, In this case
$\left(2 x + 1\right) \left(2 x - 3\right) = 0$

#### Explanation:

$a {x}^{2} + b x + c = 0$
Find factors of a and c that combine to give b, In this case
$a = 2 \cdot 2$
$c = 1 \cdot \left(- 3\right)$
$b = 2 \cdot 1 + 2 \cdot \left(- 3\right)$
$\left(2 x + 1\right) \left(2 x - 3\right) = 0$