# How do you solve 2x^2 + 5x - 3= 0?

Jul 12, 2015

color(blue)(x=1/2, x=-3

#### Explanation:

2x^2+5x−3=0

We can first factorise the expression and then find the solutions.

Factorising by splitting middle term

2x^2+color(blue)(5x)−3=0

2x^2+color(blue)(6x - 1x)−3=0

$2 x \left(x + 3\right) - 1 \left(x + 3\right) = 0$

$\left(2 x - 1\right) \left(x + 3\right) = 0$

Now we can equate the factors with zero to obtain the solutions.
2x-1 =0, color(blue)(x=1/2

x+3 =0, color(blue)(x=-3