Question

What is the solution set of the equation x^2 - 7x - 18 = 0

Answer 1

(x-9)(x+2)=0
x=9 or x=-2

Answer 2

Factoring this trinomial as the product of two binomials,

we have (x - 9)(x + 2) and set that equal to 0.

So we have (x - 9)(x + 2) = 0.

So either x - 9 = 0 or x + 2 = 0.

Solving for x in each equation, we find that our solution is {9, -2}.