Найдем корни уравнений.

1) 5 * x^2 - 1 = 3 * x^2 + 1;

5 * x^2 - 3 * x^2 = 1 + 1;

2 * x^2 = 2;

x^2 = 2/2;

x^2 = 1;

x = 1;

x = -1.

2) (6 * q + 1) * (3 - 4 * q) = 0;

{ 6 * q + 1 = 0;

3 - 4 * q = 0;

{ 6 * q = -1;

-4 * q = -3;

{ q = -1/6;

q = 3/4.