Answer:
x = -4 & +2
Step-by-step explanation:
equation: x^2 + 2x -8 = 0
=> x^2 + 4x - 2x -8 = 0 -----(*4x-2x= 2x)
=> x(x + 4) -2( x + 4) = 0 ----(taking out the common factor)
=> ( x + 4) ( x - 2 ) = 0
Case I
=> ( x + 4 ) = 0
=> x = -4
Case II
=> ( x - 2 ) = 0
=> x = 2
Therefore, x = -4 and +2