Question

Solve for the following equation x^2+9x+14=0

Answer 1

x^2+9x+14=0

x^2+7x+2x+14=0

x(x+7)+2(x+7)=0

(x+7)(x+2)=0

x+7=0

x+2=0

X=-7

x=-2

Answer 2

R= {-7,-2}

Explanation:

1. divide 14 into 2 and 7 because 2x7=14
2. write the equation as a multiplication of (x+7) and(x+2) =0
3. for the result to equal zero. at least one of the factors must equal zero, therefore we get two solutions