Question

solve x(x+5)=14

a.-7,2
b.-5,4
c.-3,6
d.-2,7

Answer 1

(x(x+5)=14)(x
x^2+5x-14=0
factor 14 such that the difference or sum of them is 5
that is 7 and 2
5 =7-2
x^2+7x-2x-14=0
x(x+7)-2(x+7)=0
(x-2)(x+7)=0
x=2 and -7
option a

Answer 2

x^2+5x - 14 = 0
x^2+7x - 2x - 14 =0
x(x+7)-2(x+7) = 0
(x+7)(x-2) = 0
x = -7,2