Find the number of solutions of each equation.

x squared + 4x-2=0

The power represents the number of solutions so 2 solutions

x^2+4x-2=0

factor it by completing the square

move 2 to other side

find a new "c" term by the equation (-b/2) ^2

(-4/2) ^2 = 4

add 4 to both side

x^2+4x+4=2+4

now you can factor the equation

(x+2) ^2 = 6

take the square root

x+2 = ± √6 (√6 = √4 + √2); √4=2

solve it

x=-2 + √6

x=-2-√6

there the 2 solutions