To solve these equations, we can first simplify the expressions.

1) To simplify 7sin2x + 6cos2x = 7sin2x + 3(2cos2x), we can use the double angle identities:

cos2x = 1 - 2sin^2(x)
sin2x = 2sin(x)cos(x)

Substitute these identities into the equation:
7(2sin(x)cos(x)) + 3(2(1 - 2sin^2(x))) = 72
14sin(x)cos(x) + 6 - 12sin^2(x) = 72
14sin(x)cos(x) - 12sin^2(x) + 6 = 72
14sin(x)cos(x) - 12sin^2(x) = 66
sin(2x) = 66
This equation cannot be solved as presented.

2) To simplify sin2x * cos2x = 1/4, we can use the double angle identities:

cos2x = 1 - 2sin^2(x)
sin2x = 2sin(x)cos(x)

Substitute these identities into the equation:
2sin(x)cos(x)(1 - 2sin^2(x)) = 1/4
2sin(x)cos(x) - 4sin^3(x)cos(x) = 1/4
sin(x)cos(x) - 2sin^3(x)cos(x) = 1/8
sin(x)cos(x)(1 - 2sin^2(x)) = 1/8
sin(2x) = 1/8
This equation cannot be solved as presented.