x^2+4x-32=0
Rewrite the expression (Write 4x as a difference)
x^2+8x-4x-32=0
Factor the expression (Factor out x and -4 from the expression)
x(x+8)-4(x+8)=0
Factor the expression(Factor out x+8 from the expression)
(x+8)(x-4)=0
Separate into possible cases(When the product of factors equals 0 at least one factor is 0)
x+8=0
x-4=0
Solve the equation for x
x=-8
x=4
So that the equation has 2 solution
x1=-8
x2=4
note: x1=x sub 1
x2=x sub 2
^=exponent