To solve these equations, we need to first set each equation equal to zero and then factor or use the quadratic formula to find the solutions.

1) 3x^2 + 7x + 2 = 0
This equation factors to:
(3x + 1)(x + 2) = 0

Setting each factor to zero gives us:
3x + 1 = 0 or x + 2 = 0

Solving for x, we get:
3x = -1 or x = -2
x = -1/3 or x = -2

So the solutions to the first equation are x = -1/3 and x = -2.

2) 5x^2 - 10 = 0
This equation can be factored as:
5(x^2 - 2) = 0

Setting each factor to zero gives us:
5 = 0 (which is not possible)
x^2 - 2 = 0

Solving for x, we get:
x^2 = 2
x = +/- sqrt(2)

Therefore, the solutions to the second equation are x = sqrt(2) and x = -sqrt(2).