Solve by factoring x^2+5x-14=0

{-7, 2}

Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.

Notice that the left side of the equation is a trinomial in a special

form that can be factored as he product of two binomials.

As our first term for each binomial, we have the factors of x², x · x

and as the second term, we have the factors of -14 that add to 5.

In this case, the factors are +7 and -2.

So we have (x + 7)(x - 2) = 0.

If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.

Solving for x in each equation, we have x = -7 or x = 2.

We can write our answer as the solution set {-7, 2}.

b

step-by-step explanation:

hiking down a winding trail.

step-by-step explanation: