# How do you solve x^2 + 5x – 6 = 0 ?

Aug 2, 2015

color(blue)(x=1,x=-6 are the solutions for the expression.

#### Explanation:

x^2+5x–6

We can first factorise the above expression and then proceed towards finding the solution.

Factorising by splitting the middle term

x^2+color(blue)(5x)–6 = x^2+color(blue)(6x - 1x)–6

$= x \left(x + 6\right) - 1 \left(x + 6\right)$

color(blue)((x-1)(x+6)  is the factorised form for the expression.
Now we can equate each factor with zero and obtain the solutions.

x-1=0, color(blue)(x=1
x+6=0, color(blue)(x=-6